The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space

TL;DR

This paper interprets supersymmetric equations of motion for a 3-Lie algebra (2,0) tensor multiplet as gauge field equations on loop space, providing a new perspective and explicit solutions for nonabelian selfdual strings.

Contribution

It offers a novel interpretation of (2,0) tensor multiplet equations as gauge equations on loop space and constructs explicit BPS solutions using an ADHMN-like method.

Findings

Supersymmetric equations are naturally interpreted as gauge equations on loop space.

BPS solutions correspond to a nonabelian extension of the selfdual string.

An explicit construction of solutions is achieved via an ADHMN-like approach.

Abstract

We show that a recently found set of supersymmetric equations of motion for a 3-Lie algebra-valued (2,0) tensor multiplet finds a natural interpretation as supersymmetric gauge field equations on loop space. We find that BPS solutions to these equations yield a previously proposed nonabelian extension of the selfdual string. We describe an ADHMN-like construction that allows for the explicit construction of such BPS solutions.