The master T-operator for the Gaudin model and the KP hierarchy

Alexander Alexandrov; Sebastien Leurent; Zengo Tsuboi; Anton Zabrodin

doi:10.1016/j.nuclphysb.2014.03.008

The master T-operator for the Gaudin model and the KP hierarchy

Alexander Alexandrov^*, Sebastien Leurent, Zengo Tsuboi, Anton Zabrodin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

Following the approach of [1], we construct the master T-operator for the quantum Gaudin model with twisted boundary conditions and show that it satisfies the bilinear identity and Hirota equations for the classical KP hierarchy. We also characterize the class of solutions to the KP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum Gaudin model and the classical Calogero-Moser system of particles.

Original language	English
Pages (from-to)	173-223
Number of pages	51
Journal	Nuclear Physics B
Volume	883
Issue number	1
DOIs	https://doi.org/10.1016/j.nuclphysb.2014.03.008
Publication status	Published - Jun 2014

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10.1016/j.nuclphysb.2014.03.008

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title = "The master T-operator for the Gaudin model and the KP hierarchy",

abstract = "Following the approach of [1], we construct the master T-operator for the quantum Gaudin model with twisted boundary conditions and show that it satisfies the bilinear identity and Hirota equations for the classical KP hierarchy. We also characterize the class of solutions to the KP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum Gaudin model and the classical Calogero-Moser system of particles.",

author = "Alexander Alexandrov and Sebastien Leurent and Zengo Tsuboi and Anton Zabrodin",

year = "2014",

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doi = "10.1016/j.nuclphysb.2014.03.008",

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T1 - The master T-operator for the Gaudin model and the KP hierarchy

AU - Alexandrov, Alexander

AU - Leurent, Sebastien

AU - Tsuboi, Zengo

AU - Zabrodin, Anton

PY - 2014/6

Y1 - 2014/6

N2 - Following the approach of [1], we construct the master T-operator for the quantum Gaudin model with twisted boundary conditions and show that it satisfies the bilinear identity and Hirota equations for the classical KP hierarchy. We also characterize the class of solutions to the KP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum Gaudin model and the classical Calogero-Moser system of particles.

AB - Following the approach of [1], we construct the master T-operator for the quantum Gaudin model with twisted boundary conditions and show that it satisfies the bilinear identity and Hirota equations for the classical KP hierarchy. We also characterize the class of solutions to the KP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum Gaudin model and the classical Calogero-Moser system of particles.

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U2 - 10.1016/j.nuclphysb.2014.03.008

DO - 10.1016/j.nuclphysb.2014.03.008

M3 - Article

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VL - 883

SP - 173

EP - 223

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1

ER -

The master T-operator for the Gaudin model and the KP hierarchy

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