Chiral 2d Theories from N=4 SYM with Varying Coupling

TL;DR

This paper explores 2d chiral theories derived from 4d N=4 SYM with spatially varying coupling, using dimensional reduction, topological twisting, and dual M-theory configurations to analyze their spectrum and anomalies.

Contribution

It introduces a novel construction of 2d chiral theories from 4d N=4 SYM with non-constant coupling via twisted dimensional reduction and dual M-theory descriptions.

Findings

Derived spectrum and anomaly polynomials for the 2d theories.

Established dual descriptions in M-theory with wrapped M5- and M2-branes.

Analyzed supersymmetry preservation in the resulting theories.

Abstract

We study 2d chiral theories arising from 4d N=4 Super-Yang Mills (SYM) with varying coupling tau. The 2d theory is obtained by dimensional reduction of N=4 SYM on a complex curve with a partial topological twist that accounts for the non-constant tau. The resulting 2d theories can preserve (0,n) with n = 2, 4, 6, 8 chiral supersymmetry, and have a natural realization in terms of strings from wrapped D3-branes in F-theory. We determine the twisted dimensional reduction, as well as the spectrum and anomaly polynomials of the resulting strings in various dimensions. We complement this by considering the dual M-theory configurations, which can either be realized in terms of M5-branes wrapped on complex surfaces, or M2-branes on curves that result in 1d supersymmetric quantum mechanics.