Aarhus University Seal / Aarhus Universitets segl

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

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Standard

Canonical quantization of the WZW model with defects and Chern-Simons theory. / Sarkissian, Gor.

In: International Journal of Modern Physics A, Vol. 25, No. 7, 2010, p. 1367-1388.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Harvard

Sarkissian, G 2010, 'Canonical quantization of the WZW model with defects and Chern-Simons theory', International Journal of Modern Physics A, vol. 25, no. 7, pp. 1367-1388. https://doi.org/10.1142/S0217751X10048305

APA

Sarkissian, G. (2010). Canonical quantization of the WZW model with defects and Chern-Simons theory. International Journal of Modern Physics A, 25(7), 1367-1388. https://doi.org/10.1142/S0217751X10048305

CBE

Sarkissian G. 2010. Canonical quantization of the WZW model with defects and Chern-Simons theory. International Journal of Modern Physics A. 25(7):1367-1388. https://doi.org/10.1142/S0217751X10048305

MLA

Sarkissian, Gor. "Canonical quantization of the WZW model with defects and Chern-Simons theory". International Journal of Modern Physics A. 2010, 25(7). 1367-1388. https://doi.org/10.1142/S0217751X10048305

Vancouver

Sarkissian G. Canonical quantization of the WZW model with defects and Chern-Simons theory. International Journal of Modern Physics A. 2010;25(7):1367-1388. https://doi.org/10.1142/S0217751X10048305

Author

Sarkissian, Gor. / Canonical quantization of the WZW model with defects and Chern-Simons theory. In: International Journal of Modern Physics A. 2010 ; Vol. 25, No. 7. pp. 1367-1388.

Bibtex

@article{13a8fa301c8a11dfb95d000ea68e967b,
title = "Canonical quantization of the WZW model with defects and Chern-Simons theory",
abstract = "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.",
author = "Gor Sarkissian",
year = "2010",
doi = "10.1142/S0217751X10048305",
language = "English",
volume = "25",
pages = "1367--1388",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
number = "7",

}

RIS

TY - JOUR

T1 - Canonical quantization of the WZW model with defects and Chern-Simons theory

AU - Sarkissian, Gor

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1142/S0217751X10048305

DO - 10.1142/S0217751X10048305

M3 - Journal article

VL - 25

SP - 1367

EP - 1388

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 7

ER -