TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.6.162
TI  - Monodromies of CFT correlators on the Lorentzian cylinder
PY  - 2025/12/23
UR  - https://scipost.org/SciPostPhys.19.6.162
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 6
SP  - 162
A1  - Kundu, Suman
AU  - Minwalla, Shiraz
AU  - Navhal, Abhishek
AB  - 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 $R^{1,1}$ are well known to access a finite number of these sheets. In this paper, we demonstrate the spiral nature of lightcones on $S^1 × $ time, which allows the time-ordered correlators of a $CFT_2$ 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.
ER  -

@Article{10.21468/SciPostPhys.19.6.162,
	title={{Monodromies of CFT correlators on the Lorentzian cylinder}},
	author={Suman Kundu and Shiraz Minwalla and Abhishek Navhal},
	journal={SciPost Phys.},
	volume={19},
	pages={162},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.6.162},
	url={https://scipost.org/10.21468/SciPostPhys.19.6.162},
}