Probing AdS4/CFT3 proposals beyond chiral rings

Abstract

We calculate the superconformal Witten index for the Chern-Simons-matter theory which was proposed to describe multiple M2-branes on $C^{2}X{C}^2/Z_k$. We consider a variant of this model, which exhibits explicit N=3 supersymmetry and has the advantage of not having an exotic branch of the moduli space. At $k=1$, we compare the index with that from the proposed gravity dual and find a disagreement.

references added; introduction modified

References in corpus (24)

• 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
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Modeling Multiple M2's
• Fractional M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Membranes on an Orbifold
• 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
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Chiral flavors and M2-branes at toric CY4 singularities
• Towards M2-brane Theories for Generic Toric Singularities
• M2-brane Probe Dynamics and Toric Duality
• Aspects of monopole operators in N=6 Chern-Simons theory
• A Monopole Index for N=4 Chern-Simons Theories
• Superconformal Indices for Orbifold Chern-Simons Theories
• Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories
• (Un)Higgsing the M2-brane
• M5 spikes and operators in the HVZ membrane theory
• Quiver Chern-Simons theories and 3-algebra orbifolds

Cited by in corpus (6)

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• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• Is toric duality a Seiberg-like duality in (2+1)-d ?