Matrix models and deformations of JT gravity: Matrix Models and Deformations

Edward Witten

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

Recently, it has been found that Jackiw-Teitelboim (JT) gravity, which is a two-dimensional theory with bulk action-1/2∫d2xgφ(R+2), is dual to a matrix model, that is, a random ensemble of quantum systems rather than a specific quantum mechanical system. In this article, we argue that a deformation of JT gravity with bulk action-1/2∫d2xg(φR+W(φ)) is likewise dual to a matrix model. With a specific procedure for defining the path integral of the theory, we determine the density of eigenvalues of the dual matrix model. There is a simple answer if W(0) = 0, and otherwise a rather complicated answer.

Original languageEnglish (US)
Article number20200610
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume476
Issue number2244
DOIs
StatePublished - Dec 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Keywords

  • JT gravity
  • matrix models
  • quantum gravity

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