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DOE OSTI · 2352495

Conformal correlators on the Lorentzian torus

Melton, Walker·Sharma, Atul (ORCID:0000000234066492)·Strominger, Andrew
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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 LT 2 which arises as the conformal boundary of the group manifold SL ( 2 , R ) ≃ AdS 3 / 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 LT 2 at the boundary of Klein space is the home of the putative celestial CFT. Published by the American Physical Society 2024

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Melton, Walker, Sharma, Atul (ORCID:0000000234066492), Strominger, Andrew. 2024-05-20. Conformal correlators on the Lorentzian torus. https://doi.org/10.1103/physrevd.109.l101701

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