Abstract
We study three-dimensional \( \mathcal{N} \) = 2 U(N) Chern-Simons theory on \( {{\mathbb{S}}^3} \) 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 ≥ N. The vacuum expectation value of the supersymmetric circular Wilson loop has a discontinuity in the first derivative.
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ArXiv ePrint: 1401.3672
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Barranco, A., Russo, J.G. Large N phase transitions in supersymmetric Chern-Simons theory with massive matter. J. High Energ. Phys. 2014, 12 (2014). https://doi.org/10.1007/JHEP03(2014)012
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DOI: https://doi.org/10.1007/JHEP03(2014)012