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Toward Exotic 6D Supergravities
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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 ${\cal N}=8$ 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.
Forward citations
Cited by 2 Pith papers
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Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.
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Exotic gravity theory in loop space
Hull's exotic C-field and its curvature G are reformulated as an ultra-local metric and curvature on loop space.
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