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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2012 Volume 171, Number 2, Pages 312–320 (Mi tmf6902)

This article is cited in 1 paper

Quantum generalized Toda system

D. V. Talalaevab

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: We construct a "spectral curve" for the generalized Toda system, which allows efficiently finding its quantization. In turn, the quantization is realized using the technique of the quantum characteristic polynomial for the Gaudin system and an appropriate Alder–Kostant–Symes reduction. We also discuss some relations of this result to the recent consideration of the Drinfeld Zastava space, the monopole space, and corresponding symmetries of the Borel Yangian.

Keywords: quantization, integrable system, flag space.

Received: 28.04.2011

DOI: 10.4213/tmf6902


 English version:
Theoretical and Mathematical Physics, 2012, 171:2, 691–699

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