Discrete anomalies and the null cone of SYM theories

TL;DR

This paper proves a stronger anomaly matching theorem linking anomaly matching with the geometry of the null cone in SYM theories, revealing discrete symmetry breaking at the moduli space origin.

Contribution

It introduces an enhanced anomaly matching theorem that predicts both continuous and discrete anomaly matchings based on geometric properties of SYM theories.

Findings

Proves a stronger anomaly matching theorem.

Shows discrete symmetry breaking at the moduli space origin.

Connects anomaly matching with null cone geometry.

Abstract

A stronger version of an anomaly matching theorem (AMT) is proven that allows to anticipate the matching of continuous as well as discrete global anomalies. The AMT shows a connection between anomaly matching and the geometry of the null cone of SYM theories. Discrete symmetries are shown to be broken at the origin of the moduli space in Seiberg-Witten theories.