A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x G

Abstract

The Chern-Simon action of the ABJM theory is not gauge invariant in the presence of a boundary. In the paper arXiv:0909.2333, this was shown to imply the existence of a Kac-Moody symmetry on the theory of multiple self-dual strings. In this paper we conjecture that the Kac-Moody symmetry induces a U(N)x U(N) gauge symmetry in the theory of N coincident M5-branes. As a start, we construct this G x G gauge symmetry algebra structure which naturally includes the tensor gauge transformation for a non-abelian 2-form tensor gauge field. This new G x G gauge structure allows us to write down a theory of a non-abelian tensor gauge field readily. For application to multiple M5-branes, we note that the field content of the G x G non-abelian tensor gauge theory can be fitted nicely as (1,0) supermultiplets; and we suggest a construction of the theory of multiple M5-branes with manifest (1,0) supersymmetry.

18 pages. LaTeX. V2: references and a comment added v3: published version

References in corpus (8)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Supersymmetry enhancement by monopole operators
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• The Action for Twisted Self-Duality
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• A Nonperturbative Proposal for Nonabelian Tensor Gauge Theory and Dynamical Quantum Yang-Baxter Maps

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• Non-Abelian Tensor Multiplet Equations from Twistor Space
• (2,0) Supersymmetry and the Light-Cone Description of M5-branes
• Amplitudes for Multiple M5 Branes
• (1,0) superconformal theories in six dimensions and Killing spinor equations
• Duality-symmetric actions for non-Abelian tensor fields
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Non-Abelian Chiral 2-Form and M5-Branes
• N=1 Non-Abelian Tensor Multiplet in Four Dimensions
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• The Non-Abelian Self-Dual String and the (2,0)-Theory
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Supersymmetric Proca-Yang-Mills System
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Extended Jackiw-Pi Model and Its Supersymmetrization
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• Multiple M-branes and 3-algebras
• Non-Abelian Electric-Magnetic Duality with Supersymmetry in 4D and 10D
• Branes and Geometry in String and M-Theory