Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields

TL;DR

This paper develops a six-dimensional supersymmetric higher gauge theory incorporating self-duality through trivial additional fields, connecting to Sen's action and homotopy algebraic structures.

Contribution

It introduces a novel 6D $ ext{(1,0)}$ supersymmetric gauge theory with self-duality achieved via trivial fields, linking to recent Sen's action and homotopy algebra.

Findings

Consistent implementation of self-duality with trivial fields.

Relation of the tensor multiplet to Sen's action.

Homotopy algebraic interpretation of the theory.

Abstract

We present a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial additional fields. The action contains both $\mathcal{N}=(1,0)$ tensor and vector multiplets and is non-trivially interacting. The tensor multiplet part is loosely related to a recently proposed action by Sen that leads to on-shell self-duality in an elegant way. As we also show, Sen's action finds a very natural and direct interpretation from a homotopy algebraic perspective.