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

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