The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory

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).

arXiv comment34 pages; v2: minor changes, references added; v3: JHEP published version

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• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Twistor Space Origins of the Newman-Penrose Map
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• Generalized Black Holes in 3D Kerr-Schild Double Copy
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• Extracting Einstein from the Loop-Level Double-Copy
• Note on the asymptotic structure of Kerr-Schild form
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• NS-NS Spacetimes from Amplitudes