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) × 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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Bolognesi, S., Konishi, K. & Luzio, A. Dynamics from symmetries in chiral SU(N) gauge theories. J. High Energ. Phys. 2020, 1 (2020). https://doi.org/10.1007/JHEP09(2020)001
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DOI: https://doi.org/10.1007/JHEP09(2020)001