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Dynamics from symmetries in chiral $SU(N)$ gauge theories

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arxiv 2004.06639 v2 pith:REK5V73C submitted 2020-04-14 hep-th hep-lathep-ph

Stefano Bolognesi , Kenichi Konishi , Andrea Luzio This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords symmetriesformhooftsymmetrictheoriesvacuumanomaliesanomaly
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abstract

The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments involving the ideas of generalized symmetries, gauging of discrete center 1-form symmetries and mixed 't Hooft anomalies. This class of models are particularly interesting because the conventional 't Hooft anomaly matching constraints allow a chirally symmetric confining vacuum, with no condensates breaking the $U(1) \times SU(N+4)$ flavor symmetry, and with certain set of massless baryonlike composite fermions saturating all the associated anomaly triangles. Our calculations show that in such a vacuum the UV-IR matching of some $0$-form$-$$1$-form mixed 't Hooft anomalies fails. This implies, for the theories with even $N$ at least, that a chirally symmetric confining vacuum contemplated earlier in the literature actually cannot be realized dynamically. In contrast, a Higgs phase characterized by some gauge-noninvariant bifermion condensates passes our improved scrutiny.

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Cited by 4 Pith papers

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    Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...

  4. Higher Representations and Quark Confinement

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    Using higher-categorical representation theory, the paper proposes that the confined and adjoint Higgs phases of scalar QCD are distinguished by their baryon-charge spectra and by the presence of center vortices.

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