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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 104, Number 1, Pages 158–191
(Mi tmf1331)
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This article is cited in 8 scientific papers (total in 8 papers)
Quantum group structure and local fields in the algebraic approach to 2D gravity
J. Schnittger Ecole Normale Supérieure, Laboratoire de Physique Theorique
Abstract:
This review contains a summary of work by J. L. Gervais and the author on the operator approach to 2d gravity. Special emphasis is placed on the construction of local observables -the Liouville exponentials and the Liouville field itself - and the underlying algebra of chiral vertex operators. The double quantum group structure arising from the presence of two screening charges is discussed and the generalized algebra and field operators are derived. In the last part, we show that our construction gives rise to a natural definition of a quantum tau function, which is a noncommutative version of the classical group-theoretic representation of the Liouville fields by Leznov and Saveliev.
Citation:
J. Schnittger, “Quantum group structure and local fields in the algebraic approach to 2D gravity”, TMF, 104:1 (1995), 158–191; Theoret. and Math. Phys., 104:1 (1995), 892–920
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https://www.mathnet.ru/eng/tmf1331 https://www.mathnet.ru/eng/tmf/v104/i1/p158
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Abstract page: | 250 | Full-text PDF : | 156 | References: | 44 | First page: | 1 |
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