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Monodromies of CFT correlates on the Lorentzian Cylinder

2025/05/02 by Suman Kundu, Kundu, Suman, Shiraz Minwalla +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Elasticity and Material Modeling #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2505.01507

openalex publication_date 2025/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

While correlators of a CFT are single valued in Euclidean Space, they are multi valued -- and have a complicated sheet structure -- in Lorentzian space. Correlators on R1,1 are well known to access a finite number of these sheets. In this paper we demonstrate the spiral nature of lightcones on S1 × time allows time ordered correlators of a CFT2 on this spacetime -- the Lorentzian cylinder -- to access an infinite number of sheets of the correlator. We present a complete classification, both of the sheets accessed as well as of the various distinct causal configurations that lie on a particular sheet. Our construction provides a physical interpretation for an infinite number of sheets of the correlator, while, however, leaving a larger infinity of these sheets uninterpreted.

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