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auto-task(StandardModel.Representations): record TODO for Standard Model fermion content as left-handed Weyl fermions #1322

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jstoobysmith merged 1 commit into from
Jul 1, 2026
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auto-task(StandardModel.Representations): record TODO for Standard Model fermion content as left-handed Weyl fermions #1322

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7 changes: 7 additions & 0 deletions Physlib/Particles/StandardModel/Representations.lean
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Expand Up @@ -7,6 +7,7 @@ module

public import Mathlib.Analysis.Complex.Basic
public import Mathlib.LinearAlgebra.UnitaryGroup
public import Physlib.Meta.TODO.Basic
/-!
# Representations appearing in the Standard Model

Expand Down Expand Up @@ -55,4 +56,10 @@ lemma repU1_fundamentalSU2_commute (u1 : unitary ℂ) (g : specialUnitaryGroup (
apply Subtype.ext
simp

TODO "Define a structure capturing the fermionic content of the Standard Model, with all fermions
expressed as left-handed Weyl fermions (`Fermion.LeftHandedWeyl`) and including all three
families. The structure should carry a `Module ℂ` instance together with a representation of the
Lorentz group and a representation of the global gauge group `GaugeGroupI` (built from `repU1`
and `fundamentalSU2`)."

end StandardModel
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