New superconformal models in six dimensions: Gauge group and representation structure

Abstract

We review recent progress in the construction and classification of six-dimensional (1,0) superconformal models with non-abelian tensor fields. Here we solve the generalized Jacobi identities which are required for consistency of the non-abelian vector/tensor gauge system and we present a large class of explicit examples.

18 pages, 12pt

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Cited by in corpus (26)

• Anomaly polynomial of general 6d SCFTs
• On S-duality of 5d super Yang-Mills on S^1
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• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Exploring 6D origins of 5D supergravities with Chern-Simons terms
• 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
• Rigid 6D supersymmetry and localization
• 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
• (1,0) superconformal theories in six dimensions and Killing spinor equations
• Lattice Gerbe Theory
• Non-Abelian Chiral 2-Form and M5-Branes
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace
• Non-Abelian tensor hierarchy in (1,0) D=6 superspace
• Superforms in Simple Six-dimensional Superspace
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• Supersymmetric Proca-Yang-Mills System
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Massless chiral fields in six dimensions