Dynamical Abelianization and anomalies in chiral gauge theories
Abstract
We explore the idea that in some class of stronglycoupled chiral $SU(N)$ gauge theories the infrared dynamics might be characterized by a bifermion condensate in the adjoint representation of the color gauge group. As an illustration, in this work we revisit an $SU(N)$ chiral gauge theory with Weyl fermions in a symmetric ($\psi$) and antiantisymmetric ($\chi$) tensor representations, together with eight fermions in the antifundamental representations ($\eta$), which we called $\psi\chi\eta$ model in the previous investigations. We study the infrared dynamics of this system more carefully, by assuming dynamical Abelianization, a phenomenon familiar from ${\cal N}=2$ supersymmetric gauge theories, and by analyzing the way various continuous and discrete symmetries are realized at low energies. We submit then these ideas to a more stringent test, by taking into account some higherform symmetries and the consequent mixed anomalies. A detailed analysis of the mixed anomalies involving certain $0$form $U(1)$ symmetries and the colorflavor locked $1$form $Z_N$ symmetry in the $\psi\chi\eta$ system shows that the proposed infrared dynamics is consistent with it.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 arXiv:
 arXiv:2206.00538
 Bibcode:
 2022arXiv220600538B
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 29 pages, 1 figure