From chiral to two-dimensional Wess-Zumino-Novikov-Witten model via quantum gauge group

Autor:	L. K. Hadjiivanov, Paolo Furlan
Přispěvatelé:	Furlan, Paolo, L. K., Hadjiivanov
Rok vydání:	1999
Předmět:	Algebra Monodromy Canonical quantization Gauge group Quantum group Statistical and Nonlinear Physics Gauge theory Quantum Mathematical Physics Cohomology Mathematical physics Fock space Mathematics
Zdroj:	Reports on Mathematical Physics. 43:123-136
ISSN:	0034-4877
DOI:	10.1016/s0034-4877(99)80021-4
Popis:	We study the canonical quantization of the SU ( n ) WZNW model. Decoupling the chiral dynamics requires an extended state space including left and right monodromies as independent variables. In the simplest ( n = 2) case we explicitly show that the zero modes of the monodromy extended SU (2) WZNW model give rise to a quantum group gauge theory in a finite-dimensional Fock space. We define the subspace of U q ( sl (2)) ⊗ U q ( sl (2))-invariant vectors on which the monodromy invariance is also restored and construct the physical space applying a generalized cohomology condition.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f791f479f842153ce461bb7b3a28d80e https://doi.org/10.1016/s0034-4877(99)80021-4 Zobrazit plný text záznamu Full Text from ScienceDirect