Multiple Self-Dual Strings on M5-Branes

TL;DR

This paper develops a method to define boundary conditions in Chern-Simons matter theories, specifically applying it to ABJM theory, to derive the action for multiple self-dual strings on M5-branes.

Contribution

It introduces a novel approach to boundary conditions in Chern-Simons theories by adding boundary degrees of freedom, enabling the derivation of self-dual string actions on M5-branes.

Findings

Boundary degrees of freedom cancel gauge non-invariance.

Derived boundary action for ABJM theory with boundary.

Obtained the action for multiple self-dual strings on M5-branes.

Abstract

We show how to define Chern-Simons matter theories with boundary. Rather than imposing boundary conditions, we introduce new boundary degrees of freedom from the beginning and show how they can be used to cancel the gauge non-invariance of the Chern-Simons action. We apply this method to the ABJM theory with boundary. By imposing also boundary conformal invariance, we determine the required boundary action. This result allows us to derive the action for the multiple self-dual strings living on M5-branes.