Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vernadsky National Library of Ukraine
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Title |
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
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Creator |
Rubtsov, V.
Silantyev, A. Talalaev, D. |
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Description |
In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gln Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic quantum group Eτ,h(gln) 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.
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Date |
2019-02-19T17:10:13Z
2019-02-19T17:10:13Z 2009 |
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Type |
Article
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Identifier |
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model / V. Rubtsov, A. Silantyev, D. Talalaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ.
1815-0659 DOI:10.3842/SIGMA.2009.110 http://dspace.nbuv.gov.ua/handle/123456789/149089 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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