Classical and Quantum Dilogarithm Identities
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Classical and Quantum Dilogarithm Identities
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| Creator |
Kashaev, R.M.
Nakanishi, T. |
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| Description |
Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and local forms. We then demonstrate how classical dilogarithm identities naturally emerge from quantum dilogarithm identities in local form in the semiclassical limit by applying the saddle point method.
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| Date |
2019-02-16T12:50:30Z
2019-02-16T12:50:30Z 2011 |
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| Type |
Article
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| Identifier |
Classical and Quantum Dilogarithm Identities / R.M. Kashaev, T. Nakanishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 65 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 13F60 DOI: http://dx.doi.org/10.3842/SIGMA.2011.106 http://dspace.nbuv.gov.ua/handle/123456789/147994 |
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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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