More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3

TL;DR

This paper systematically analyzes supersymmetric states in N=4 SYM on R x S^3, discovering new 1/16 BPS equations, classifying solutions, and extending results to N=8 SYM on R x S^2.

Contribution

It introduces a new set of 1/16 BPS equations and classifies supersymmetric states in N=4 SYM, also extending the analysis to N=8 SYM on R x S^2.

Findings

Derived new 1/16 BPS equations.

Classified supersymmetric states in N=4 SYM.

Extended results to N=8 SYM on R x S^2.

Abstract

We perform a systematic analysis on supersymmetric states in N=4 supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16 BPS equations and determine the precise configuration of the supersymmetric states by solving all 1/16 BPS equations when they are valued in Cartan subalgebra of a gauge group and the fermionic fields vanish. We also determine the number of supersymmetries preserved by the supersymmetric states varying the parameters of the BPS solutions. As a byproduct we present the complete set of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional reduction.