M5-branes and Wilson Surfaces

TL;DR

This paper explores M5-brane solutions in AdS/CFT to describe Wilson surface operators in 6D superconformal field theory, revealing half-BPS configurations and boundary term subtleties.

Contribution

It constructs explicit M5-brane string soliton solutions in AdS_7×S^4 and analyzes their supersymmetry and boundary properties.

Findings

Solutions are half-BPS

Boundary term issues are discussed

Explicit soliton solutions are constructed

Abstract

We investigate the M5-brane description of the Wilson surface operators in six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence. We consider the Wilson surface operators in high-dimensional representation, whose description could be M5-brane string soliton solutions in $AdS_7\times S^4$ background. We construct such string soliton solutions from the covariant M5-brane equations of motion and discuss their properties. The supersymmetry analysis shows that these solutions are half-BPS. We also discuss the subtle issue on the boundary terms.