Dynamical supersymmetry in maximally supersymmetric gauge theories

TL;DR

This paper derives the explicit form of dynamical supersymmetry in maximally supersymmetric gauge theories within light-cone superspace, highlighting their unique structure when conformally invariant.

Contribution

It provides the first explicit derivation of dynamical supersymmetry in light-cone superspace for ten- and four-dimensional super-Yang-Mills and the Bagger-Lambert-Gustavsson theory from covariant formulations.

Findings

Explicit light-cone superspace form of dynamical supersymmetry derived

Unified description for multiple maximally supersymmetric theories

Highlights the role of conformal invariance in defining supersymmetry structure

Abstract

Maximally supersymmetric theories can be described by a single scalar superfield in light-cone superspace. When they are also (super)conformally invariant, they are uniquely specified by the form of the dynamical supersymmetry. We present an explicit derivation of the light-cone superspace form of the dynamical supersymmetry in the cases of ten- and four-dimensional super-Yang-Mills, and the three-dimensional Bagger-Lambert-Gustavsson theory, starting from the covariant formulation of these theories.