Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech
Date Friday 26 January 2018
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Neveu
Speaker's First Name André
Speaker's Email Address
Speaker's Institution Laboratoire Charles Coulomb Montpellier
Title A Bäcklund transformation for elliptic four-point conformal blocks
Abstract In Liouville theory, we derive a partial differential equation for five-point correlation functions with one degenerate field $V_{-b/2}$. From it, one obtains explicit finite-dimensional integral representations in terms of elliptic theta-functions for a class of four-point conformal blocks for arbitrary intermediate dimension and generic value of the central charge. The conformal bootstrap can then be investigated analytically. Introducing a Bäcklund transformation on the solutions of the partial differential equation, one can reach a large extended set of external dimensions of these conformal blocks.
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