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Interacting fermions and N = 2 Chern-Simons-matter theories

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Published in Journal of High Energy Physics. 2013, vol. 2013, no. 11
Abstract The partition function on the three-sphere of N = 3 Chern-Simons-matter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N = 2 supersymmetry, the partition function corresponds to a gas of interacting fermions in one dimension. The large N limit is the thermodynamic limit of the gas and it can be analyzed with the Hartree and Thomas-Fermi approximations, which lead to the known large N solutions of these models. We use this interacting fermion picture to analyze in detail N = 2 theories with one single node. In the case of theories with no long-range forces we incorporate exchange effects and argue that the partition function is given by an Airy function, as in N = 3 theories. For the theory with g adjoint superfields and long-range forces, the Thomas-Fermi approximation leads to an integral equation which determines the large N, strongly coupled R-charge
Keywords Matrix Models, Strong Coupling Expansion, 1/N Expansion, Supersymmetric gauge theory
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MARINO BEIRAS, Marcos, PUTROV, Pavel. Interacting fermions and N = 2 Chern-Simons-matter theories. In: Journal of High Energy Physics, 2013, vol. 2013, n° 11. https://archive-ouverte.unige.ch/unige:34934

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Deposited on : 2014-03-24

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