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<p>It is shown that time-ordered correlation functions of a unitary CFT<sub>2</sub> in 2D Minkowski space admit a single-valued, conformally-invariant extension to the Lorentzian signature torus provided that the <i>S</i><sup>1</sup> × <i>S</i><sup>1</sup> spatial and temporal radii are equal. The result extends to Lorentzian CFT<sub><i>D</i></sub> on equal-radii <i>S</i><sup><i>D</i>−1</sup> × <i>S</i><sup>1</sup> under the assumption that branch cuts occur only when a pair of operator insertions are null separated.</p>

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Conformal field theory with periodic time

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月22日

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  • Walker Melton,
  • Andrew Strominger

摘要

It is shown that time-ordered correlation functions of a unitary CFT2 in 2D Minkowski space admit a single-valued, conformally-invariant extension to the Lorentzian signature torus provided that the S1 × S1 spatial and temporal radii are equal. The result extends to Lorentzian CFTD on equal-radii SD−1 × S1 under the assumption that branch cuts occur only when a pair of operator insertions are null separated.