Feb 22 – 25, 2021
Perimeter Institute
America/Toronto timezone

On hidden quantum group symmetries in CFT

Feb 25, 2021, 10:30 AM
Perimeter Institute

Perimeter Institute


Eveliina Peltola (Bonn University)


"I discuss applications of a hidden $U_q(\mathfrak{sl}_2)$-symmetry in CFT with central charge $c \leq 1$ (focusing on the generic, semisimple case, with $c$ irrational). This symmetry provides a systematic method for solving Belavin-Polyakov-Zamolodchikov PDE systems, and in particular for explicit calculation of the asymptotics and monodromy properties of the solutions. Using a quantum Schur-Weyl duality, one can understand solution spaces of such PDE systems in a detailed way. The solutions, in turn, are useful both for CFT questions and for rigorous understanding of the connections of 2D CFT with critical models of statistical physics."

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