Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model

In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gl_n Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic quantum group E_{τ,h}(gl_n) and taking the appropriate limit. The approach of Manin matrices here sui...

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Bibliographic Details
Main Authors: Dmitri Talalaev, Alexey Silantyev, Vladimir Rubtsov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.110