Loop space, (2,0) theory, and solitonic strings

TL;DR

This paper introduces a loop space action generalizing free tensor multiplet theory, derives BPS string equations, and establishes a connection between solitonic strings and monopoles via the Hopf map, providing explicit solutions.

Contribution

It presents a novel loop space action for tensor multiplets and links BPS strings to monopoles, expanding understanding of solitonic solutions in higher-dimensional theories.

Findings

Derived Bogomolnyi equations for solitonic strings

Established correspondence between BPS strings and monopoles

Constructed explicit BPS solitonic string solutions

Abstract

We present an interacting action that lives in loop space, and we argue that this is a generalization of the theory for a free tensor multiplet. From this action we derive the Bogomolnyi equation corresponding to solitonic strings. Using the Hopf map, we find a correspondence between BPS strings and BPS monopoles in four-dimensional super Yang-Mills theory. This enable us to find explicit BPS saturated solitonic string solutions.