Symmetries and Compactifications of (4,0) Conformal Gravity

Abstract

The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\mathbb{Z})$ duality symmetry that acts non-trivially on the linearised gravity sector, interchanging the linearised Einstein equations and Bianchi identities and giving a self-duality between strong and weak coupling regimes. The possibility of this extending to an interacting form of the theory is discussed and implications for the non-geometric picture of gravity that could emerge are considered.

37 pages

Cited by in corpus (34)

• Consistent deformations of dual formulations of linearized gravity: A no-go result
• Bosonic conformal higher--spin fields of any symmetry
• Geometric Second Order Field Equations for General Tensor Gauge Fields
• Twin Supergravities from Yang-Mills Squared
• Conformal Field Theories in Six-Dimensional Twistor Space
• Superconformal symmetry and maximal supergravity in various dimensions
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• Gravity as a gapless phase and biform symmetries
• Off-Shell Hodge Dualities in Linearised Gravity and E11
• O(d+1,d+1) enhanced double field theory
• E8 duality and dual gravity
• Chiral Tensors of Mixed Young Symmetry
• Massless spin-two field S-duality
• Toward Exotic 6D Supergravities
• On the quantisation and anomalies of antisymmetric tensor-spinors
• Fermionic Higher-form Symmetries
• Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field
• A note on the double dual graviton
• On symmetries and dynamics of exotic supermultiplets
• Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
• Supersymmetric action for 6D $(4,0)$ supergravity
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• The Action of the (free) $(4,0)$-theory
• Higher spins from exotic dualisations
• Dual linearized gravity in D=6 coupled to a purely spin-two field of mixed symmetry (2,2)
• Duality and higher Buscher rules in p-form gauge theory and linearized gravity
• Prepotentials for linearized supergravity
• S-Dual Gravity in the Axial Gauge
• Gravitational Fields of the Magnetic-type
• Massless chiral fields in six dimensions
• Generalized Gravitational S-Duality and the Cosmological Constant Problem
• Duality Anomalies in Linearized Gravity
• The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ superconformal theory is free!
• Dualized Gravity beyond Linear Approximation