Duality-symmetric actions for non-Abelian tensor fields

Abstract

We construct the duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to each other by first-order (self-)duality equations that follow from these actions. In particular, this construction provides a Lorentz invariant action for non-Abelian self-dual tensor fields. The class of models includes the bosonic sectors of the 6d (1,0) superconformal models of interacting non-Abelian self-dual tensor, vector, and hypermultiplets.

28 pages, v2: minor corrections, references added and updated

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Cited by in corpus (17)

• Exceptional field theory: $SL(5)$
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
• The tensor hierarchy simplified
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Non-Abelian tensor hierarchy in (1,0) D=6 superspace
• Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
• Higher-dimensional field theories from type II supergravity
• Massless chiral fields in six dimensions
• Instantonic string solitons on M5 branes
• Higher Structures, Self-Dual Strings and 6d Superconformal Field Theories
• Nonlinear (chiral) p-form electrodynamics