World-volume Effective Action of Exotic Five-brane in M-theory

TL;DR

This paper derives the world-volume effective action of the exotic M-theory 5${}^3$-brane, revealing its supersymmetric structure, T-duality transformations, and role as a source in eleven-dimensional supergravity.

Contribution

It presents the first explicit form of the world-volume action for the M-theory 5${}^3$-brane, including T-duality rules and supergravity source terms.

Findings

Derived the effective action for the M5${}^3$-brane.

Established T-duality transformations in eleven dimensions.

Identified the brane as a source in supergravity equations.

Abstract

We study the world-volume effective action of an exotic five-brane, known as the M-theory 5${}^3$-brane (M5${}^3$-brane) in eleven dimensions. The supermultiplet of the world-volume theory is the $\mathcal{N} = (2, 0)$ tensor multiplet in six dimensions. The world-volume action contains three Killing vectors $\hat{k}_{\hat{I}} {}^M \ (\hat{I} =1,2,3)$ associated with the $U(1)^3$ isometry. We find the effective T-duality rule for the eleven-dimensional backgrounds that transforms the M5-brane effective action to that of the M5${}^3$-brane. We also show that our action provides the source term for the M5${}^3$-brane geometry in eleven-dimensional supergravity