Abstract
Using localization technique, we calculate the partition function and expectation values of Wilson loop operators in Chen-Simons theory on general lens spaces L(p,q) (including S2 × S1). Our results are consistent with known results.
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References
V. Pestun, arXiv:0712.2824 [hep-th].
J. K. Erickson, G. W. Semenoff and K. Zarembo, Nucl. Phys. B 582, 155 (2000).
N. Drukker and D. J. Gross, J. Math. Phys. 42, 2896 (2001).
A. Kapustin, B. Willett and I. Yaakov, arXiv:0909.4559 [hep-th].
M. Marino, Commun. Math. Phys. 253, 25 (2004).
M. Aganagic, A. Klemm, M. Marino and C. Vafa, J. High Energy Phys. 0402, 010 (2004).
A. Brini, L. Griguolo, D. Seminara and A. Tanzini, arXiv:0809.1610 [math-ph].
L. Griguolo, D. Seminara, R. J. Szabo and A. Tanzini, Nucl. Phys. B 772, 1 (2007).
E. Witten, Commun. Math. Phys. 121, 351 (1989).
S. K. Hansen and T. Takata, J. Knot Theor. Ramif. 13, 617 (2004).
N. Halmagyi and T. Okuda, J. High Energy Phys. 0803, 028 (2008).
J. H. Schwarz, J. High Energy Phys. 0411, 078 (2004).
G. Ishiki, Y. Takayama and A. Tsuchiya, J. High Energy Phys. 0610, 007 (2006).
M. Blau and G. Thompson, Nucl. Phys. B 408, 345 (1993).
M. Blau and G. Thompson, J. High Energy Phys. 0605, 003 (2006).
C. Beasley and E. Witten, J. Differ. Geom. 70, 183 (2005).
C. Beasley, arXiv:0911.2687 [hep-th].
Acknowledgments
We would like to thank Takao Suyama for valuable discussions and comments on the manuscript. We also thank Seok Kim, Eunkyung Koh and Hee-Cheol Kim for useful discussions.
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Gang, D. Chern-Simons Theory on L(p,q) Lens Spaces and Localization. J. Korean Phys. Soc. 74, 1119–1128 (2019). https://doi.org/10.3938/jkps.74.1119
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DOI: https://doi.org/10.3938/jkps.74.1119