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arXiv · 1211.1866

Correlators of Large N Fermionic Chern-Simons Vector Models

Guy Gur-Ari·Ran Yacoby
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Abstract

We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the `t Hooft coupling N/k. It was suggested recently that this theory is dual to the Legendre-transformed theory of scalar fields coupled to Chern-Simons gauge interactions. Our results show that this duality holds for any value of the `t Hooft coupling, at least at the level of the planar 3-point functions. In addition, we determine the sign in the duality transformation of the Chern-Simons level, as well as the relation between the "triple-trace" deformation which exists in the bosonic Chern-Simons theory and in the Legendre-transformed fermionic theory.

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Guy Gur-Ari, Ran Yacoby. 2012-11-08. Correlators of Large N Fermionic Chern-Simons Vector Models. https://doi.org/10.1007/jhep02(2013)150

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