Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem
arxiv(2024)
摘要
We consider theories of gauged quark flavor and identify non-invertible
Peccei-Quinn symmetries arising from fractional instantons when the resulting
gauge group has non-trivial global structure. Such symmetries exist solely
because the Standard Model has the same numbers of generations as colors, N_g
= N_c. This leads us to a massless down-type quark solution to the strong CP
problem in an ultraviolet SU(9) theory of quark color-flavor unification. We
show how the CKM flavor structure and weak CP violation can be generated
without upsetting our solution.
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