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  • Letter
  • Open Access

Conformal correlators on the Lorentzian torus

Walker Melton, Atul Sharma, and Andrew Strominger

  • Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts, USA

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Phys. Rev. D 109, L101701 – Published 20 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L101701

Abstract

The general form of a 2D conformal field theory (CFT) correlator on a Euclidean Riemann surface, Lorentzian plane or Lorentzian cylinder is well known. This paper describes the general form of 2- and 3-point CFT correlators on the Lorentzian torus LT2 which arises as the conformal boundary of the group manifold SL(2,R)≃AdS3/Z. We consider only generic points, thereby omitting an analysis of contact terms, which already exhibits a surprisingly rich structure. The results are relevant to celestial holography, for which the LT2 at the boundary of Klein space is the home of the putative celestial CFT.

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Outline

Information

Phys. Rev. D 109, L101701– Published 20 May, 2024
  • Received 13 November 2023
  • Accepted 23 April 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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