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feat: Add dot file creation

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jstoobysmith 2024-09-17 07:08:03 -04:00
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commit 3c790c2e38
2 changed files with 162 additions and 29 deletions
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31
HepLean/SpaceTime/WeylFermion/Basic.lean
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@ -103,3 +103,34 @@ informal_lemma altLeftWeylFermionContraction_invariant where
math :≈ "The contraction altLeftWeylFermionContraction is invariant with respect to
the action of SL(2,C) on leftHandedWeylFermion and altLeftHandedWeylFermion."
deps :≈ [``altLeftWeylFermionContraction]
informal_definition rightAltWeylFermionContraction where
math :≈ "The linear map from rightHandedWeylFermion ⊗ altRightHandedWeylFermion to ℂ given by
summing over components of rightHandedWeylFermion and altRightHandedWeylFermion in the
standard basis (i.e. the dot product)."
physics :≈ "The contraction of a right-handed Weyl fermion with a left-handed Weyl fermion.
In index notation this is ψ_{dot a} φ^{dot a}."
deps :≈ [``rightHandedWeylFermion, ``altRightHandedWeylFermion]
informal_lemma rightAltWeylFermionContraction_invariant where
math :≈ "The contraction rightAltWeylFermionContraction is invariant with respect to
the action of SL(2,C) on rightHandedWeylFermion and altRightHandedWeylFermion."
deps :≈ [``rightAltWeylFermionContraction]
informal_definition altRightWeylFermionContraction where
math :≈ "The linear map from altRightHandedWeylFermion ⊗ rightHandedWeylFermion to ℂ given by
summing over components of altRightHandedWeylFermion and rightHandedWeylFermion in the
standard basis (i.e. the dot product)."
physics :≈ "The contraction of a right-handed Weyl fermion with a left-handed Weyl fermion.
In index notation this is φ^{dot a} ψ_{dot a}."
deps :≈ [``rightHandedWeylFermion, ``altRightHandedWeylFermion]
informal_lemma rightAltWeylFermionContraction_symm_altRightWeylFermionContraction where
math :≈ "The linear map altRightWeylFermionContraction is rightAltWeylFermionContraction composed
with the braiding of the tensor product."
deps :≈ [``rightAltWeylFermionContraction, ``altRightWeylFermionContraction]
informal_lemma altRightWeylFermionContraction_invariant where
math :≈ "The contraction altRightWeylFermionContraction is invariant with respect to
the action of SL(2,C) on rightHandedWeylFermion and altRightHandedWeylFermion."
deps :≈ [``altRightWeylFermionContraction]