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2019 Modular bootstrap agrees with the path integral in the large moduli limit
Guillaume Baverez
Electron. J. Probab. 24: 1-22 (2019). DOI: 10.1214/19-EJP394

Abstract

Based on the rigorous path integral formulation of Liouville Conformal Field Theory initiated by David-Kupiainen-Rhodes-Vargas [6] on the Riemann sphere and David-Rhodes-Vargas [11] on the torus of modulus $\tau $, we give the exact asymptotic behaviour of the 1-point toric correlation function as $\mathrm{Im} \tau \to \infty $.

In agreement with formulae predicted within the bootstrap formalism of theoretical physics, our results feature an $(\mathrm{Im} \tau )^{-3/2}$ decay rate and we identify the derivative of DOZZ formula in the limit.

Citation

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Guillaume Baverez. "Modular bootstrap agrees with the path integral in the large moduli limit." Electron. J. Probab. 24 1 - 22, 2019. https://doi.org/10.1214/19-EJP394

Information

Received: 25 June 2018; Accepted: 15 November 2019; Published: 2019
First available in Project Euclid: 20 December 2019

zbMATH: 07149384
MathSciNet: MR4049080
Digital Object Identifier: 10.1214/19-EJP394

Subjects:
Primary: 60D05, 81T40

JOURNAL ARTICLE
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