$D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories

Abstract

Using a convolutive field theoretic product, it is shown here that the "square" of an Abelian $D=6$, $\mathcal{N}=(2,0)$ theory yields the free $D=6$, $\mathcal{N}=(4,0)$ theory constructed by Hull, together with its generalised (super)gauge transformations. This offers a new perspective on the $(4,0)$ theory and chiral theories of conformal gravity more generally, while at the same time extending the domain of the "gravity = gauge $\times$ gauge" paradigm.

References added, minor typos corrected and comments added

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• A double copy for asymptotic symmetries in the self-dual sector
• Ehlers as EM duality in the double copy
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Weyl doubling
• New heavenly double copies
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• On the Lagrangian formulation of the double copy to cubic order
• Gauge $\times$ Gauge on Spheres
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• Toward Exotic 6D Supergravities
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• Topological twists of supersymmetric algebras of observables
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• 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
• Recursion and worldsheet formulae for 6d superamplitudes
• The Weyl double copy from twistor space
• Aspects of electric-magnetic dualities in maximal supergravity
• Duality Anomalies in Linearized Gravity
• The Kerr-Schild Double Copy in Lifshitz Spacetime