Conformal Field Theory with Periodic Time

Fuente: arXiv
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Auteurs principaux: Melton, Walker, Strominger, Andrew
Format: Preprint
Publié: 2025
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author Melton, Walker
Strominger, Andrew
author_facet Melton, Walker
Strominger, Andrew
contents It is shown that time-ordered correlation functions of a unitary CFT$_2$ in 2D Minkowski space admit a single-valued, conformally-invariant extension to the Lorentzian signature torus provided that the $S^1\times S^1$ spatial and temporal radii are equal. The result extends to Lorentzian CFT$_D$ on equal-radii $S^{D-1}\times S^1$ under the assumption that branch cuts occur only when a pair of operator insertions are null separated.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09089
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Conformal Field Theory with Periodic Time
Melton, Walker
Strominger, Andrew
High Energy Physics - Theory
It is shown that time-ordered correlation functions of a unitary CFT$_2$ in 2D Minkowski space admit a single-valued, conformally-invariant extension to the Lorentzian signature torus provided that the $S^1\times S^1$ spatial and temporal radii are equal. The result extends to Lorentzian CFT$_D$ on equal-radii $S^{D-1}\times S^1$ under the assumption that branch cuts occur only when a pair of operator insertions are null separated.
title Conformal Field Theory with Periodic Time
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.09089