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arXiv · 1211.1388

Free Energy of D_n Quiver Chern-Simons Theories

P. Marcos Crichigno·Christopher P. Herzog·Dharmesh Jain
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Abstract

We apply the matrix model of Kapustin, Willett and Yaakov to compute the free energy of N=3 Chern-Simons matter theories with D_n quivers in the large N limit. We conjecture a general expression for the free energy that is explicitly invariant under Seiberg duality and show that it can be interpreted as a sum over certain graphs known as signed graphs. Through the AdS/CFT correspondence, this leads to a prediction for the volume of certain tri-Sasaki Einstein manifolds. We also study the unfolding procedure, which relates these D_n quivers to A_{2n-5} quivers. Furthermore, we consider the addition of massive fundamental flavor fields, verifying that integrating these out decreases the free energy in accordance with the F-theorem.

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P. Marcos Crichigno, Christopher P. Herzog, Dharmesh Jain. 2012-11-06. Free Energy of D_n Quiver Chern-Simons Theories. https://doi.org/10.1007/jhep03(2013)039

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