Superconformal Indices for Orbifold Chern-Simons Theories

Abstract

We calculate the superconformal indices of recently discovered three-dimensional N=4,5 Chern-Simons-matter theories and compare them with the corresponding indices of supergravity on AdS4 times orbifolds of S7. We find perfect agreement in the large N and large k limit, provided that the twisted sector contributions at the fixed loci of the orbifolds are properly taken into account. We also discuss the index for the so-called "dual ABJM" proposal.

27 pages, 1 figure; v2. reference added, minor corrections

References in corpus (27)

• 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
• An Index for 4 dimensional Super Conformal Theories
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Fractional M2-branes
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Notes on Superconformal Chern-Simons-Matter Theories
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Superconformal Chern-Simons Theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Towards M2-brane Theories for Generic Toric Singularities
• Comments on N=2 AdS Orbifolds
• N=4 Chern-Simons theories with auxiliary vector multiplets
• Index for Orbifold Quiver Gauge Theories
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Marginal Deformations of Field Theories with AdS_4 Duals
• The Superconformal Gaugings in Three Dimensions
• Orbifolding the Membrane Action
• Marginal Deformations with U(1)^3 Global Symmetry

Cited by in corpus (17)

• Index for three dimensional superconformal field theories with general R-charge assignments
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Chiral flavors and M2-branes at toric CY4 singularities
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Nonrelativistic Superconformal M2-Brane Theory
• A Monopole Index for N=4 Chern-Simons Theories
• Superconformal index for large N quiver Chern-Simons theories
• Eschenburg space as gravity dual of flavored N=4 Chern-Simons-matter theory
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Duality between N=5 and N=6 Chern-Simons matter theory
• The Morphology of N=6 Chern-Simons Theory
• Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
• Probing AdS4/CFT3 proposals beyond chiral rings
• M5 spikes and operators in the HVZ membrane theory
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit
• Quiver Chern-Simons theories and 3-algebra orbifolds