Toward Exotic 6D Supergravities

Abstract

We investigate exotic supergravity theories in 6D with maximal (4,0) and (3,1) supersymmetry, which were conjectured by C. Hull to exist and to describe strong coupling limits of $\mathcal{N}=8$ theories in 5D. These theories involve exotic gauge fields with non-standard Young tableaux representations, subject to (self-)duality constraints. We give novel actions in a 5+1 split of coordinates whose field equations reproduce those of the free bosonic (4,0) and (3,1) theory, respectively, including the (self-)duality relations. Evidence is presented for a master exceptional field theory formulation with an extended section constraint that, depending on the solution, produces the (4,0), (3,1) or the conventional (2,2) theory. We comment on the possible construction of a fully non-linear master exceptional field theory.

arXiv comment30 pages

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Cited by in corpus (8)

• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Fermionic Higher-form Symmetries
• On the quantisation and anomalies of antisymmetric tensor-spinors
• Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
• Supersymmetric action for 6D $(4,0)$ supergravity
• Duality and higher Buscher rules in p-form gauge theory and linearized gravity
• Massless chiral fields in six dimensions
• Nonlinear (chiral) p-form electrodynamics