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arXiv · 1401.3672

Large N phase transitions in supersymmetric Chern-Simons theory with massive matter

Alejandro Barranco·Jorge G. Russo
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Abstract

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a specific decompactification limit, the theory exhibits quantum (third-order) phase transitions at finite critical values of the coupling. The theory presents three phases when 0 < N_f < N and two phases when N_f\geq N. The vacuum expectation value of the supersymmetric circular Wilson loop has a discontinuity in the first derivative.

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Alejandro Barranco, Jorge G. Russo. 2014-01-21. Large N phase transitions in supersymmetric Chern-Simons theory with massive matter. https://doi.org/10.1007/jhep03(2014)012

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