Hidden Symmetry and S-duality in N=4 D=4 Super Yang-Mills Theory

TL;DR

This paper explores the hidden gauge symmetries and S-duality in N=4 Super Yang-Mills theory, proposing new dual transformations and conjecturing a stable symmetry subgroup that relates self-dual and anti-self-dual configurations.

Contribution

It constructs special dual transformations generalizing Schwarz duality for N=4 SYM and introduces a new model with a larger symmetry group related to these transformations.

Findings

Constructed dual transformations for N=4 SYM

Related transformations to a hidden symmetry group

Conjectured a stable Z2 subgroup linking self-dual and anti-self-dual states

Abstract

In this talk the Schwarz hypothesis that the duality symmetries should be pieces of the hidden gauge symmetry in a string theory is discussed. Using auxiliary linear system special dual transformations for $N=4$ SYM generalizing the Schwarz dual transformations for a principal chiral model are constructed. These transformations are related with a continuous group of hidden symmetry of a new model involving more fields as compare with $N=4$ SYM. We conjecture that the $Z_{2}$ discrete subgroup of this hidden symmetry group has a stable set of N=4 YM fields and transforms a self-dual configuration to an anti-self-dual and via versa.