Refined test of AdS4/CFT3 correspondence for N=2,3 theories

Abstract

We investigate the superconformal indices for the Chern-Simons-matter theories proposed for M2-branes probing the cones over N^{010}/Z_k, Q^{111}, M^{32} with N=2,3 supersymmetries and compare them with the corresponding dual gravity indices. For N^{010}, we find perfect agreements. In addition, for N^{010}/Z_k, we also find an agreement with the gravity index including the contributions from two types of D6-branes wrapping RP^3. For Q^{111}, we find that the model obtained by adding fundamental flavors to the N=6 theory has the right structure to be the correct model. For M^{32}, we find the matching with the gravity index modulo contributions from peculiar saddle points.

35 pages, 1 figure, v2: added references and comments

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Notes on SUSY Gauge Theories on Three-Sphere
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Brane Tilings and M2 Branes
• ABJM with Flavors and FQHE
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Towards M2-brane Theories for Generic Toric Singularities
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories

Cited by in corpus (30)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Rigid Supersymmetric Theories in Curved Superspace
• SUSY Gauge Theories on Squashed Three-Spheres
• N=2 supersymmetric theories on squashed three-sphere
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
• Toric Fano varieties and Chern-Simons quivers
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
• On 3d Seiberg-like Dualities with Two Adjoints
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Marginal deformations of 3d $\mathcal{N}=2$ CFTs from AdS${}_4$ backgrounds in generalised geometry
• Gaugings of four-dimensional N=3 supergravity and AdS4/CFT3 holography
• Black hole microstates and supersymmetric localization
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• Is toric duality a Seiberg-like duality in (2+1)-d ?
• BPS $M2$-branes in $Ad{S}_4\times Q^{1,1,1}$ Dual to Loop Operators
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Superconformal Indices and M2-Branes
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Semiclassics of three-dimensional SCFTs from holography