Quantization of Lax integrable systems and Conformal Field Theory

2020/05/06 by Sheinman, Oleg K.
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 81T40 #Representation Theory (math.RT) #Secondary 14H70

paper · doi:10.48550/arxiv.2005.03053

Abstract

We present the correspondence between Lax integrable systems with spectral parameter on a Riemann surface, and Conformal Field Theories, in quite general set-up suggested earlier by the author. This correspondence turns out to give a prequantization of the integrable systems in question.

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