From 5c8806ee4183890d41f06827b68fdb399d61b5fd Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:31 +0200 Subject: [PATCH 01/15] Update Basic.lean --- HepLean/AnomalyCancellation/Basic.lean | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/HepLean/AnomalyCancellation/Basic.lean b/HepLean/AnomalyCancellation/Basic.lean index 651118c..c609025 100644 --- a/HepLean/AnomalyCancellation/Basic.lean +++ b/HepLean/AnomalyCancellation/Basic.lean @@ -16,7 +16,7 @@ It defines a module structure on the charges, and the solutions to the linear AC ## TODO - Derive ACC systems from gauge algebras and fermionic representations. -- Relate ACCSystems to algebraic varities. +- Relate ACCSystems to algebraic varieties. -/ @@ -86,7 +86,7 @@ lemma LinSols.ext {χ : ACCSystemLinear} {S T : χ.LinSols} (h : S.val = T.val) cases' S simp_all only -/-- An instance providng the operations and properties for `LinSols` to form an +/-- An instance providing the operations and properties for `LinSols` to form an addative commutative monoid. -/ @[simps!] instance linSolsAddCommMonoid (χ : ACCSystemLinear) : @@ -121,7 +121,7 @@ instance linSolsAddCommMonoid (χ : ACCSystemLinear) : apply LinSols.ext exact χ.chargesAddCommMonoid.nsmul_succ _ _ -/-- An instance providng the operations and properties for `LinSols` to form an +/-- An instance providing the operations and properties for `LinSols` to form an module over `ℚ`. -/ @[simps!] instance linSolsModule (χ : ACCSystemLinear) : Module ℚ χ.LinSols where @@ -149,7 +149,7 @@ instance linSolsModule (χ : ACCSystemLinear) : Module ℚ χ.LinSols where exact χ.chargesModule.add_smul _ _ _ /-- An instance providing the operations and properties for `LinSols` to form an - an addative community. -/ + an additive community. -/ instance linSolsAddCommGroup (χ : ACCSystemLinear) : AddCommGroup χ.LinSols := Module.addCommMonoidToAddCommGroup ℚ @@ -271,7 +271,7 @@ structure Hom (χ η : ACCSystem) where charges : χ.charges →ₗ[ℚ] η.charges /-- The map between solutions. -/ anomalyFree : χ.Sols → η.Sols - /-- The condition that the map commutes with the relevent inclusions. -/ + /-- The condition that the map commutes with the relevant inclusions. -/ commute : charges ∘ χ.solsIncl = η.solsIncl ∘ anomalyFree /-- The definition of composition between two ACCSystems. -/ From 90527e78729f6dbb06416115aaea1eefb2a8e4b8 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:36 +0200 Subject: [PATCH 02/15] Update GroupActions.lean --- HepLean/AnomalyCancellation/GroupActions.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/GroupActions.lean b/HepLean/AnomalyCancellation/GroupActions.lean index e9b735b..33bae35 100644 --- a/HepLean/AnomalyCancellation/GroupActions.lean +++ b/HepLean/AnomalyCancellation/GroupActions.lean @@ -13,7 +13,7 @@ under which the anomaly equations are invariant. From this we define - The representation acting on the vector space of solutions to the linear ACCs. -- The group action acting on solutions to the linera + quadratic equations. +- The group action acting on solutions to the linear + quadratic equations. - The group action acting on solutions to the anomaly cancellation conditions. -/ From 4a129f1e9d1423d23dd78b75bfa1692e097a31bb Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:38 +0200 Subject: [PATCH 03/15] Update CliffordAlgebra.lean --- HepLean/SpaceTime/CliffordAlgebra.lean | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/HepLean/SpaceTime/CliffordAlgebra.lean b/HepLean/SpaceTime/CliffordAlgebra.lean index 39dad9b..68b6114 100644 --- a/HepLean/SpaceTime/CliffordAlgebra.lean +++ b/HepLean/SpaceTime/CliffordAlgebra.lean @@ -11,8 +11,8 @@ This file defines the Gamma matrices. ## TODO -- Prove that the algebra generated by the gamma matrices is ismorphic to the - Clifford algebra assocaited with spacetime. +- Prove that the algebra generated by the gamma matrices is isomorphic to the + Clifford algebra associated with spacetime. - Include relations for gamma matrices. -/ From 7088bfef3dc91c2cf99f597382cbeb54c85461e5 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:41 +0200 Subject: [PATCH 04/15] Update Basic.lean --- HepLean/SpaceTime/LorentzGroup/Basic.lean | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/HepLean/SpaceTime/LorentzGroup/Basic.lean b/HepLean/SpaceTime/LorentzGroup/Basic.lean index 2c2d119..607e063 100644 --- a/HepLean/SpaceTime/LorentzGroup/Basic.lean +++ b/HepLean/SpaceTime/LorentzGroup/Basic.lean @@ -113,7 +113,7 @@ def lorentzGroup : Subgroup (GL (Fin 4) ℝ) where instance : TopologicalGroup lorentzGroup := Subgroup.instTopologicalGroupSubtypeMem lorentzGroup -/-- The lift of a matrix perserving `ηLin` to a Lorentz Group element. -/ +/-- The lift of a matrix preserving `ηLin` to a Lorentz Group element. -/ def PreservesηLin.liftLor {Λ : Matrix (Fin 4) (Fin 4) ℝ} (h : PreservesηLin Λ) : lorentzGroup := ⟨liftGL h, h⟩ @@ -127,24 +127,24 @@ def transpose (Λ : lorentzGroup) : lorentzGroup := PreservesηLin.liftLor ((PreservesηLin.iff_transpose Λ.1).mp Λ.2) -/-- The continuous map from `GL (Fin 4) ℝ` to `Matrix (Fin 4) (Fin 4) ℝ` whose kernal is +/-- The continuous map from `GL (Fin 4) ℝ` to `Matrix (Fin 4) (Fin 4) ℝ` whose kernel is the Lorentz group. -/ -def kernalMap : C(GL (Fin 4) ℝ, Matrix (Fin 4) (Fin 4) ℝ) where +def kernelMap : C(GL (Fin 4) ℝ, Matrix (Fin 4) (Fin 4) ℝ) where toFun Λ := η * Λ.1ᵀ * η * Λ.1 continuous_toFun := by apply Continuous.mul _ Units.continuous_val apply Continuous.mul _ continuous_const exact Continuous.mul continuous_const (Continuous.matrix_transpose (Units.continuous_val)) -lemma kernalMap_kernal_eq_lorentzGroup : lorentzGroup = kernalMap ⁻¹' {1} := by +lemma kernelMap_kernel_eq_lorentzGroup : lorentzGroup = kernelMap ⁻¹' {1} := by ext Λ erw [mem_iff Λ, PreservesηLin.iff_matrix] rfl /-- The Lorentz Group is a closed subset of `GL (Fin 4) ℝ`. -/ theorem isClosed_of_GL4 : IsClosed (lorentzGroup : Set (GL (Fin 4) ℝ)) := by - rw [kernalMap_kernal_eq_lorentzGroup] - exact continuous_iff_isClosed.mp kernalMap.2 {1} isClosed_singleton + rw [kernelMap_kernel_eq_lorentzGroup] + exact continuous_iff_isClosed.mp kernelMap.2 {1} isClosed_singleton end lorentzGroup From 503fd417122d10ff2e294ea215319aa0ebc1677f Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:45 +0200 Subject: [PATCH 05/15] Update Orthochronous.lean --- HepLean/SpaceTime/LorentzGroup/Orthochronous.lean | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/HepLean/SpaceTime/LorentzGroup/Orthochronous.lean b/HepLean/SpaceTime/LorentzGroup/Orthochronous.lean index 832953f..dc0349b 100644 --- a/HepLean/SpaceTime/LorentzGroup/Orthochronous.lean +++ b/HepLean/SpaceTime/LorentzGroup/Orthochronous.lean @@ -112,7 +112,7 @@ lemma orthchroMapReal_minus_one_or_one (Λ : lorentzGroup) : local notation "ℤ₂" => Multiplicative (ZMod 2) -/-- A continuous map from `lorentzGroup` to `ℤ₂` whose kernal are the Orthochronous elements. -/ +/-- A continuous map from `lorentzGroup` to `ℤ₂` whose kernel are the Orthochronous elements. -/ def orthchroMap : C(lorentzGroup, ℤ₂) := ContinuousMap.comp coeForℤ₂ { toFun := fun Λ => ⟨orthchroMapReal Λ, orthchroMapReal_minus_one_or_one Λ⟩, @@ -169,7 +169,7 @@ lemma mul_not_othchron_of_not_othchron_othchron {Λ Λ' : lorentzGroup} (h : ¬ rw [zero_zero_mul] exact euclid_norm_not_IsFourVelocity_IsFourVelocity h h' -/-- The representation from `lorentzGroup` to `ℤ₂` whose kernal are the Orthochronous elements. -/ +/-- The representation from `lorentzGroup` to `ℤ₂` whose kernel are the Orthochronous elements. -/ def orthchroRep : lorentzGroup →* ℤ₂ where toFun := orthchroMap map_one' := by From 665289854a3e965cabb9e1bafa13c3cee11baf2f Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Mon, 20 May 2024 23:36:47 +0200 Subject: [PATCH 06/15] Update TargetSpace.lean --- HepLean/StandardModel/HiggsBoson/TargetSpace.lean | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/HepLean/StandardModel/HiggsBoson/TargetSpace.lean b/HepLean/StandardModel/HiggsBoson/TargetSpace.lean index 5c41e07..37b7bbd 100644 --- a/HepLean/StandardModel/HiggsBoson/TargetSpace.lean +++ b/HepLean/StandardModel/HiggsBoson/TargetSpace.lean @@ -42,7 +42,7 @@ abbrev higgsVec := EuclideanSpace ℂ (Fin 2) section higgsVec -/-- The continous linear map from the vector space `higgsVec` to `(Fin 2 → ℂ)` acheived by +/-- The continuous linear map from the vector space `higgsVec` to `(Fin 2 → ℂ)` achieved by casting vectors. -/ def higgsVecToFin2ℂ : higgsVec →L[ℝ] (Fin 2 → ℂ) where toFun x := x @@ -69,7 +69,7 @@ noncomputable def higgsRepUnitary : gaugeGroup →* unitaryGroup (Fin 2) ℂ whe map_one' := by simp only [Prod.snd_one, _root_.map_one, Prod.fst_one, mul_one] -/-- An orthonomral basis of higgsVec. -/ +/-- An orthonormal basis of higgsVec. -/ noncomputable def orthonormBasis : OrthonormalBasis (Fin 2) ℂ higgsVec := EuclideanSpace.basisFun (Fin 2) ℂ @@ -306,8 +306,8 @@ lemma IsMinOn_potential_iff_of_μSq_nonpos {μSq : ℝ} (hμSq : μSq ≤ 0) : exact potential_eq_bound_IsMinOn_of_μSq_nonpos hLam hμSq φ h end potentialProp -/-- Given a Higgs vector, a rotation matrix which puts the fst component of the -vector to zero, and the snd componenet to a real -/ +/-- Given a Higgs vector, a rotation matrix which puts the first component of the +vector to zero, and the second component to a real -/ def rotateMatrix (φ : higgsVec) : Matrix (Fin 2) (Fin 2) ℂ := ![![φ 1 /‖φ‖ , - φ 0 /‖φ‖], ![conj (φ 0) / ‖φ‖ , conj (φ 1) / ‖φ‖] ] @@ -353,8 +353,8 @@ lemma rotateMatrix_specialUnitary {φ : higgsVec} (hφ : φ ≠ 0) : (rotateMatrix φ) ∈ specialUnitaryGroup (Fin 2) ℂ := mem_specialUnitaryGroup_iff.mpr ⟨rotateMatrix_unitary hφ, rotateMatrix_det hφ⟩ -/-- Given a Higgs vector, an element of the gauge group which puts the fst component of the -vector to zero, and the snd componenet to a real -/ +/-- Given a Higgs vector, an element of the gauge group which puts the first component of the +vector to zero, and the second component to a real -/ def rotateGuageGroup {φ : higgsVec} (hφ : φ ≠ 0) : gaugeGroup := ⟨1, ⟨(rotateMatrix φ), rotateMatrix_specialUnitary hφ⟩, 1⟩ From ae2b974669bbe81c7d6d1ed815606f85b41a9619 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:07:53 +0200 Subject: [PATCH 07/15] Update BasisLinear.lean --- HepLean/AnomalyCancellation/PureU1/Even/BasisLinear.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/PureU1/Even/BasisLinear.lean b/HepLean/AnomalyCancellation/PureU1/Even/BasisLinear.lean index 63b1ee5..f8edd17 100644 --- a/HepLean/AnomalyCancellation/PureU1/Even/BasisLinear.lean +++ b/HepLean/AnomalyCancellation/PureU1/Even/BasisLinear.lean @@ -10,7 +10,7 @@ import Mathlib.Logic.Equiv.Fin /-! # Basis of `LinSols` in the even case -We give a basis of `LinSols` in the even case. This basis has the special propoerty +We give a basis of `LinSols` in the even case. This basis has the special property that splits into two planes on which every point is a solution to the ACCs. -/ universe v u From 940c10ce2821ddf05bb1353a053a27deeb49e0d2 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:08:19 +0200 Subject: [PATCH 08/15] Update LineInCubic.lean --- HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean b/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean index db47ec0..f87c0fb 100644 --- a/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean +++ b/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean @@ -15,10 +15,10 @@ import Mathlib.Tactic.Polyrith # Line In Cubic Even case We say that a linear solution satisfies the `lineInCubic` property -if the line through that point and through the two different planes formed by the baisis of +if the line through that point and through the two different planes formed by the basis of `LinSols` lies in the cubic. -We show that for a solution all its permutations satsfiy this property, then there exists +We show that for a solution all its permutations satisfy this property, then there exists a permutation for which it lies in the plane spanned by the first part of the basis. The main reference for this file is: @@ -34,7 +34,7 @@ open BigOperators variable {n : ℕ} open VectorLikeEvenPlane -/-- A property on `LinSols`, statified if every point on the line between the two planes +/-- A property on `LinSols`, satisfied if every point on the line between the two planes in the basis through that point is in the cubic. -/ def lineInCubic (S : (PureU1 (2 * n.succ)).LinSols) : Prop := ∀ (g : Fin n.succ → ℚ) (f : Fin n → ℚ) (_ : S.val = Pa g f) (a b : ℚ) , From 85f7800ef26b2f7f22adec05cfc67fef861a459b Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:10:51 +0200 Subject: [PATCH 09/15] Update Basic.lean --- HepLean/AnomalyCancellation/MSSMNu/Basic.lean | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/HepLean/AnomalyCancellation/MSSMNu/Basic.lean b/HepLean/AnomalyCancellation/MSSMNu/Basic.lean index 1b8ce7c..6af82cc 100644 --- a/HepLean/AnomalyCancellation/MSSMNu/Basic.lean +++ b/HepLean/AnomalyCancellation/MSSMNu/Basic.lean @@ -34,7 +34,7 @@ def MSSMSpecies : ACCSystemCharges := ACCSystemChargesMk 3 namespace MSSMCharges /-- An equivalence between `MSSMCharges.charges` and the space of maps -`(Fin 18 ⊕ Fin 2 → ℚ)`. The first 18 factors corresponds to the SM fermions, whils the last two +`(Fin 18 ⊕ Fin 2 → ℚ)`. The first 18 factors corresponds to the SM fermions, while the last two are the higgsions. -/ @[simps!] def toSMPlusH : MSSMCharges.charges ≃ (Fin 18 ⊕ Fin 2 → ℚ) := @@ -173,7 +173,7 @@ lemma accGrav_ext {S T : MSSMCharges.charges} rw [hd, hu] rfl -/-- The anomaly cancelation condition for SU(2) anomaly. -/ +/-- The anomaly cancellation condition for SU(2) anomaly. -/ @[simp] def accSU2 : MSSMCharges.charges →ₗ[ℚ] ℚ where toFun S := ∑ i, (3 * Q S i + L S i) + Hd S + Hu S From d7eb122dd97b206baf5e91e423d82b27af21301d Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:10:53 +0200 Subject: [PATCH 10/15] Update Basic.lean --- HepLean/AnomalyCancellation/PureU1/Basic.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/PureU1/Basic.lean b/HepLean/AnomalyCancellation/PureU1/Basic.lean index b9f04a3..8ee66dd 100644 --- a/HepLean/AnomalyCancellation/PureU1/Basic.lean +++ b/HepLean/AnomalyCancellation/PureU1/Basic.lean @@ -10,7 +10,7 @@ import Mathlib.Algebra.BigOperators.Fin /-! # Pure U(1) ACC system. -We define the anomaly cancellation conditions for a pure U(1) gague theory with `n` fermions. +We define the anomaly cancellation conditions for a pure U(1) gauge theory with `n` fermions. -/ universe v u From 720afc70e8525c16b063ce64b63a10a6170e90d1 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:10:54 +0200 Subject: [PATCH 11/15] Update ConstAbs.lean --- HepLean/AnomalyCancellation/PureU1/ConstAbs.lean | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/HepLean/AnomalyCancellation/PureU1/ConstAbs.lean b/HepLean/AnomalyCancellation/PureU1/ConstAbs.lean index 1acdccc..c3cacd1 100644 --- a/HepLean/AnomalyCancellation/PureU1/ConstAbs.lean +++ b/HepLean/AnomalyCancellation/PureU1/ConstAbs.lean @@ -24,7 +24,7 @@ variable {n : ℕ} /-- The condition for two rationals to have the same square (equivalent to same abs). -/ def constAbsProp : ℚ × ℚ → Prop := fun s => s.1^2 = s.2^2 -/-- The condition on a charge assigment `S` to have constant absolute value among charges. -/ +/-- The condition on a charge assignment `S` to have constant absolute value among charges. -/ @[simp] def constAbs (S : (PureU1 n).charges) : Prop := ∀ i j, (S i) ^ 2 = (S j) ^ 2 @@ -137,7 +137,7 @@ lemma boundary_accGrav'' (k : Fin n) (hk : boundary S k) : rw [boundary_castSucc hS hk, boundary_succ hS hk] ring -/-- We say a `S ∈ charges` has a boundry if there exists a `k ∈ Fin n` which is a boundary. -/ +/-- We say a `S ∈ charges` has a boundary if there exists a `k ∈ Fin n` which is a boundary. -/ @[simp] def hasBoundary (S : (PureU1 n.succ).charges) : Prop := ∃ (k : Fin n), boundary S k From 87183d6e931051dcc2adecf5708ac9796dfa180e Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:10:56 +0200 Subject: [PATCH 12/15] Update Parameterization.lean --- HepLean/AnomalyCancellation/PureU1/Even/Parameterization.lean | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/HepLean/AnomalyCancellation/PureU1/Even/Parameterization.lean b/HepLean/AnomalyCancellation/PureU1/Even/Parameterization.lean index fd6a18e..2669b53 100644 --- a/HepLean/AnomalyCancellation/PureU1/Even/Parameterization.lean +++ b/HepLean/AnomalyCancellation/PureU1/Even/Parameterization.lean @@ -16,7 +16,7 @@ import Mathlib.Tactic.Polyrith Given maps `g : Fin n.succ → ℚ`, `f : Fin n → ℚ` and `a : ℚ` we form a solution to the anomaly equations. We show that every solution can be got in this way, up to permutation, unless it, up to -permutaiton, lives in the plane spanned by the firt part of the basis vector. +permutation, lives in the plane spanned by the first part of the basis vector. The main reference is: @@ -32,7 +32,7 @@ open BigOperators variable {n : ℕ} open VectorLikeEvenPlane -/-- Given coefficents `g` of a point in `P` and `f` of a point in `P!`, and a rational, we get a +/-- Given coefficients `g` of a point in `P` and `f` of a point in `P!`, and a rational, we get a rational `a ∈ ℚ`, we get a point in `(PureU1 (2 * n.succ)).AnomalyFreeLinear`, which we will later show extends to an anomaly free point. -/ From 4528d22dc67a7c8d155fdb9e2983adb8a260cf25 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:12:53 +0200 Subject: [PATCH 13/15] Update LinearParameterization.lean --- .../SM/NoGrav/One/LinearParameterization.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/SM/NoGrav/One/LinearParameterization.lean b/HepLean/AnomalyCancellation/SM/NoGrav/One/LinearParameterization.lean index d34340a..01ae991 100644 --- a/HepLean/AnomalyCancellation/SM/NoGrav/One/LinearParameterization.lean +++ b/HepLean/AnomalyCancellation/SM/NoGrav/One/LinearParameterization.lean @@ -46,7 +46,7 @@ lemma ext {S T : linearParameters} (hQ : S.Q' = T.Q') (hY : S.Y = T.Y) (hE : S.E cases' S simp_all only -/-- The map from the linear paramaters to elements of `(SMNoGrav 1).charges`. -/ +/-- The map from the linear parameters to elements of `(SMNoGrav 1).charges`. -/ @[simp] def asCharges (S : linearParameters) : (SMNoGrav 1).charges := fun i => match i with From e29a94d39093c0af9a5b0850e6abe46254f310e1 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:12:55 +0200 Subject: [PATCH 14/15] Update Lemmas.lean --- HepLean/AnomalyCancellation/SM/NoGrav/One/Lemmas.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/SM/NoGrav/One/Lemmas.lean b/HepLean/AnomalyCancellation/SM/NoGrav/One/Lemmas.lean index 6288867..959a0b1 100644 --- a/HepLean/AnomalyCancellation/SM/NoGrav/One/Lemmas.lean +++ b/HepLean/AnomalyCancellation/SM/NoGrav/One/Lemmas.lean @@ -12,7 +12,7 @@ import HepLean.AnomalyCancellation.SM.NoGrav.One.LinearParameterization The main result of this file is the conclusion of this paper: https://arxiv.org/abs/1907.00514 -That eveery solution to the ACCs without gravity satisfies for free the gravitational anomaly. +That every solution to the ACCs without gravity satisfies for free the gravitational anomaly. -/ universe v u From 64d98066da0a2ee28c5f8470630bc0f8bcec90e9 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:12:57 +0200 Subject: [PATCH 15/15] Update Basic.lean --- HepLean/AnomalyCancellation/SM/NoGrav/Basic.lean | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/HepLean/AnomalyCancellation/SM/NoGrav/Basic.lean b/HepLean/AnomalyCancellation/SM/NoGrav/Basic.lean index bdc1a45..4d33c6d 100644 --- a/HepLean/AnomalyCancellation/SM/NoGrav/Basic.lean +++ b/HepLean/AnomalyCancellation/SM/NoGrav/Basic.lean @@ -7,7 +7,7 @@ import HepLean.AnomalyCancellation.SM.Basic /-! # Anomaly Cancellation in the Standard Model without Gravity -This file defines the system of anaomaly equations for the SM without RHN, and +This file defines the system of anomaly equations for the SM without RHN, and without the gravitational ACC. -/