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Duality and higher temperature phases of large N Chern-Simons matter theories on S 2 × S 1

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Abstract

It has been recently demonstrated that the thermal partition function of any large N Chern-Simons gauge theories on S 2 × S 1, coupled to fundamental matter, reduces to a capped unitary matrix model. The matrix models corresponding to several specific matter Chern-Simons theories at temperature T were determined in [1]. The large N saddle point equations for these theories were determined in the same paper, and were solved in the low temperature phase. In this paper we find exact solutions for these saddle point equations in three other phases of these theories and thereby explicitly determine the free energy of the corresponding theories at all values of T 2 /N . As anticipated on general grounds in [1], our results are in perfect agreement with conjectured level rank type bosonization dualities between pairs of such theories.

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  1. Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India

    Tomohisa Takimi

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  1. Tomohisa Takimi
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Correspondence to Tomohisa Takimi.

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ArXiv ePrint: 1304.3725

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Takimi, T. Duality and higher temperature phases of large N Chern-Simons matter theories on S 2 × S 1 . J. High Energ. Phys. 2013, 177 (2013). https://doi.org/10.1007/JHEP07(2013)177

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