On Abelianity Lines in Elliptic -Algebras
We present a systematic derivation of the abelianity conditions for the q-deformed -algebras constructed from the elliptic quantum algebra Aq,ₚ(ˆ()c). We identify two sets of conditions on a given critical surface yielding abelianity lines in the moduli space (, , ). Each line is identified as an in...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211026 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Abelianity Lines in Elliptic -Algebras. Jean Avan, Luc Frappat and Eric Ragoucy. SIGMA 16 (2020), 094, 18 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We present a systematic derivation of the abelianity conditions for the q-deformed -algebras constructed from the elliptic quantum algebra Aq,ₚ(ˆ()c). We identify two sets of conditions on a given critical surface yielding abelianity lines in the moduli space (, , ). Each line is identified as an intersection of a countable number of critical surfaces obeying diophantine consistency conditions. The corresponding Poisson bracket structures are then computed, for which some universal features are described.
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| ISSN: | 1815-0659 |