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

23 pages, comments and references added, version published in JHEP

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• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Non-geometric Five-branes in Heterotic Supergravity
• Exotic Brane Junctions from F-theory
• Reductions of Exceptional Field Theories
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• World-volume Effective Theories of Locally Non-geometric Branes
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Duality rules for more mixed-symmetry potentials
• Exotic Aspects of Extended Field Theories