Chiral Rings of Deconstructive [SU(n_c)]^N Quivers

TL;DR

This paper constructs the chiral rings of 4D N=1 gauge theories derived from 5D SQCD via dimensional deconstruction, revealing similarities and differences with single U(n_c) theories, including nonlocal operators and baryonic structures.

Contribution

It provides a detailed construction of the chiral rings for [SU(n_c)]^N quiver theories, highlighting novel nonlocal and baryonic operators absent in U(n_c) cases.

Findings

Chiral rings include nonlocal meson-like operators.

Presence of baryonic and antibaryonic operators due to SU(n_c) gauge groups.

Results extend understanding of deconstructed 5D SQCD to 4D gauge theories.

Abstract

Dimensional deconstruction of 5D SQCD with general n_c, n_f and k_CS gives rise to 4D N=1 gauge theories with large quivers of SU(n_c) gauge factors. We construct the chiral rings of such [SU(n_c)]^N theories, off-shell and on-shell. Our results are broadly similar to the chiral rings of single U(n_c) theories with both adjoint and fundamental matter, but there are also some noteworthy differences such as nonlocal meson-like operators where the quark and antiquark fields belong to different nodes of the quiver. And because our gauge groups are SU(n_c) rather than U(n_c), our chiral rings also contain a whole zoo of baryonic and antibaryonic operators.