Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory

Abstract

We investigate the superconformal index and the partition function for the chiral-like Chern-Simons-matter theory proposed for M2-branes probing the cones over $M^{3,2}$ and find perfect agreements with the gravity index and the gravitational free energy.

16 pages, 1 figure; typos corrected, references added

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Cited by in corpus (13)

• The supersymmetric NUTs and bolts of holography
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• The F-Theorem and F-Maximization
• Partition functions on 3d circle bundles and their gravity duals
• Toric Fano varieties and Chern-Simons quivers
• Exact QFT duals of AdS black holes
• Refined Checks and Exact Dualities in Three Dimensions
• On 3d Seiberg-like Dualities with Two Adjoints
• Operator Counting for N=2 Chern-Simons Gauge Theories with Chiral-like Matter Fields
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Is toric duality a Seiberg-like duality in (2+1)-d ?
• Superconformal Indices and M2-Branes
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories