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Title: | Level-rank duality in Chern-Simons theory |
Other Titles: | Level-rank duality in Chern-Simons theory on the Torus |
Authors: | Minwalla, Shiraz MAJMUDAR, KHILAV Dept. of Physics 20131057 |
Keywords: | 2018 Physics Quantum Field Theory Chern-Simons theory Level-rank duality |
Issue Date: | May-2018 |
Abstract: | We begin investigations of the level-rank duality of pure Chern-Simons theory on the torus by counting the number of states on both sides of the duality. We analyse a formula given in \cite{Elitzur:1989nr} for determining the dimensionality of the Hilbert space of $SU(N)$ Chern-Simons theory on the torus. We illustrate a way to find the dimensions of the $U(N)$ theory and show that it matches with the answer expected from duality. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/950 |
Appears in Collections: | MS THESES |
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thesis.pdf | 419.13 kB | Adobe PDF | View/Open |
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