Equations of the (2,0) Theory and Knitted Fivebranes

TL;DR

This paper investigates non-linear corrections to the (2,0) theory, proposing a topological term similar to known M-theory corrections, and explores their implications through supergravity, super Yang-Mills, and M(atrix)-theory perspectives.

Contribution

It introduces a new topological correction term in the (2,0) theory and analyzes its origins and implications across multiple theoretical frameworks.

Findings

Identification of a topological correction term analogous to C3 wedge X8(R)

Connection of the correction to supergravity and one-loop super Yang-Mills effects

Discussion on the implications for M(atrix)-theory and potential fundamental formulations

Abstract

We study non-linear corrections to the low-energy description of the (2,0) theory. We argue for the existence of a topological correction term similar to the C3 wedge X8(R) in M-theory. This term can be traced to a classical effect in supergravity and to a one-loop diagram of the effective 4+1D Super Yang-Mills. We study other terms which are related to it by supersymmetry and discuss the requirements on the subleading correction terms from M(atrix)-theory. We also speculate on a possible fundamental formulation of the theory.