(2,0) Lagrangian Structures

TL;DR

This paper constructs a Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet by adding a self-dual three-form, and proposes a non-abelian extension relevant to M5-branes.

Contribution

It introduces a novel Lorentz invariant Lagrangian with an additional self-dual three-form and develops a non-abelian generalization for interacting M5-branes.

Findings

Constructed a Lorentz invariant Lagrangian for abelian (2,0) tensor supermultiplet.

Developed a non-abelian extension reproducing M5-brane equations.

Described aspects of two interacting M5-branes.

Abstract

By including an additional self-dual three-form we construct a Lorentz invariant lagrangian for the abelian (2,0) tensor supermultiplet. The extra three-form is a supersymmetry singlet and decouples from the (2,0) tensor supermultiplet. We also present an interacting non-abelian generalization which reproduces the equations of motion of [arXiv:1007.2982 [hep-th]] and can describe some aspects of two interacting M5-branes.