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

Autor: Dmitri Talalaev, Alexey Silantyev, Vladimir Rubtsov
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 110 (2009)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2009.110
Popis: 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 suits well to the problem of constructing the generation function of commuting elements which plays an important role in SoV and Langlands concept.
Databáze: Directory of Open Access Journals