Free Energy of D_n Quiver Chern-Simons Theories

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.

24 pages, 8 figures

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Cited by in corpus (19)

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• The F-Theorem and F-Maximization
• Exact relations between M2-brane theories with and without Orientifolds
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Exact Instanton Expansion of ABJM Partition Function
• Sphere correlation functions and Verma modules
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• 3d $\mathcal{N}=2$ $\widehat{ADE}$ Chern-Simons Quivers
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Non-toric Cones and Chern-Simons Quivers
• Twisted Indices of more 3d Quivers
• Deconstructing Deformed D-quivers
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview