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The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
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abstract
We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to construct a Kerr-Schild type Ansatz for exceptional field theory. This Kerr-Schild Ansatz then allows us to find the solutions of charged objects such as the membrane from a set of single copy fields. The exceptional field theory formalism then automatically produces the IIB Kerr-Schild ansatz allowing the construction of the single copy for the fields of IIB supergravity (with manifest $SL(2)$ symmetry).
Forward citations
Cited by 2 Pith papers
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Double Copy Map for Double Field Theory on an Arbitrary Constant Background
A double copy map from two Yang-Mills theories around background gauge fields yields the double field theory action on an arbitrary constant background, up to third order.
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Lecture notes: Introduction to the Off-shell Double Copy Program
Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.
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