Abstract
Abstract
We develop a method for evaluating asymptotics of certain contour integrals that appear in conformal field theory under the name of Dotsenko–Fateev integrals and that are natural generalizations of the classical hypergeometric functions.We illustrate the method by establishing a number of estimates that are useful in the context of martingale observables for multiple Schramm–Loewner evolution processes.
Funder
H2020 European Research Council
Vetenskapsrådet
Göran Gustafssons Stiftelse för Naturvetenskaplig och Medicinsk Forskning
Knut och Alice Wallenbergs Stiftelse
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
Reference13 articles.
1. Alberts, T., Kang, N.-G., Makarov, N.: Conformal field theory for multiple SLEs. (In preparation)
2. Di Francesco, P., Mathieu, P., Sénéchal, D.: Conformal Field Theory, Graduate Texts in Contemporary Physics. Springer, New York (1997)
3. Dotsenko, V.S., Fateev, V.A.: Conformal algebra and multipoint correlation functions in 2D statistical models. Nucl. Phys. B 240, 312–348 (1984)
4. Dotsenko, V.S., Fateev, V.A.: Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge $$c \le 1$$. Nucl. Phys. B 251, 691–734 (1985)
5. Dubédat, J.: Euler integrals for commuting SLEs. J. Stat. Phys 123, 1183–1218 (2006)
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