English

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

High Energy Physics - Theory 2021-09-17 v3 General Relativity and Quantum Cosmology

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)SL(2) symmetry).

Keywords

Cite

@article{arxiv.2010.08255,
  title  = {The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory},
  author = {David S. Berman and Kwangeon Kim and Kanghoon Lee},
  journal= {arXiv preprint arXiv:2010.08255},
  year   = {2021}
}

Comments

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