Deformed Virasoro Algebras from Elliptic Quantum Algebras
| Autor: | Eric Ragoucy, Luc Frappat, Jean Avan |
|---|---|
| Přispěvatelé: | Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2017 |
| Předmět: |
Vertex (graph theory)
Pure mathematics 010308 nuclear & particles physics [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 010102 general mathematics FOS: Physical sciences Bilinear interpolation Statistical and Nonlinear Physics Mathematical Physics (math-ph) 01 natural sciences Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) 0101 mathematics Central charge Quantum Mathematical Physics Mathematics |
| Zdroj: | Communications in Mathematical Physics Communications in Mathematical Physics, Springer Verlag, 2017, 254, pp.753. ⟨10.1007/s00220-017-2909-7⟩ |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/s00220-017-2909-7 |
| Popis: | We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows us to make contact with the vertex operator techniques that were introduced separately at the same period. As a by-product, the method pinpoints two critical values of the central charge for which the center of the algebra is extended, as well as (in the $gl(2)$ case) a Liouville formula. Comment: 24 pages |
| Databáze: | OpenAIRE |
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