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Canonical quantization of the WZW model with defects and Chern-Simons theory

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  • Gor Sarkissian, Denmark
We perform canonical quantization of the WZW model with defects and permutation branes. We establish symplectomorphism between phase space of WZW model with $N$ defects on cylinder and phase space of Chern-Simons theory on annulus times $R$ with $N$ Wilson lines, and between phase space of WZW model with $N$ defects on strip and Chern-Simons theory on disc times $R$ with $N+2$ Wilson lines. We obtained also symplectomorphism between phase space of the $N$-fold product of the WZW model with boundary conditions specified by permutation branes, and phase space of Chern-Simons theory on sphere with $N$ holes and two Wilson lines.
Original languageEnglish
JournalInternational Journal of Modern Physics A
Volume25
Issue7
Pages (from-to)1367-1388
Number of pages22
ISSN0217-751X
DOIs
Publication statusPublished - 2010

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