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On the baryon-color-flavor (BCF) anomaly in vector-like theories · Around

2019

On the baryon-color-flavor (BCF) anomaly in vector-like theories

Anber, Mohamed M., Poppitz, Erich

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We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory.

We call the obstruction to gauging symmetries revealed by such backgrounds the baryon-color-flavor (BCF) 't Hooft anomaly.
We apply the BCF anomaly to vector-like theories, with fermions in higher-dimensional representations of arbitrary N-ality, and derive non-trivial constraints on their IR dynamics.
In particular, this class of theories enjoys an independent discrete chiral symmetry and one may ask about the fate of this symmetry in the background of BCF fluxes.

Built on

C. Cordova, D. S. Freed, H. T. Lam, and N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
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1905
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C. Cordova, D. S. Freed, H. T. Lam, and N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
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1905
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M. M. Anber, Self-conjugate QCD
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1906
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A. Cherman, T. Jacobson, Y. Tanizaki, and M. Unsal, Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
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1908
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S. Bolognesi, K. Konishi, and A. Luzio, Gauging 1-form center symmetries in simple S U ( N ) SU(N) gauge theories
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1909
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N. Kan, R. Kitano, S. Yankielowicz, and R. Yokokura, From 3d dualities to hadron physics
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1909
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T. Kanazawa and M. Unsal, Quantum distillation in QCD
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1909
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