Discrete Anomaly Matching for the Pouliot Type Dualities

TL;DR

This paper verifies discrete anomaly matching conditions in Pouliot type dual supersymmetric theories involving Spin and SU gauge groups, confirming their consistency.

Contribution

It computes and confirms discrete 't Hooft anomaly matching for two pairs of Pouliot type dual supersymmetric theories.

Findings

Both dual pairs satisfy discrete anomaly matching conditions.

Theories involve Spin(7) and Spin(10) gauge groups with various matter representations.

Supports the validity of Pouliot type dualities through anomaly analysis.

Abstract

We compute the 't Hooft anomalies of discrete symmetries in the Pouliot type dual theories and check their anomaly matching conditions. The Pouliot type dual theories we will consider in this paper are two dual pairs; the dual pair of ${\cal N}=1$ supersymmetric theories of a $Spin(7)$ gauge theory with spinors and a $SU(N_f-4)$ gauge theory with a symmetric tensor, fundamentals and singlets, and the other dual pair of ${\cal N}=1$ supersymmetric theories of a $Spin(10)$ gauge theory with a spinor and vectors and a $SU(N_f-5)$ gauge theory with a symmetric tensor, fundamentals and singlets. We will show that the both pairs satisfy the discrete anomaly matching conditions.