ABJ Theory in the Higher Spin Limit

Abstract

We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the N=6 Vasiliev higher spin theory on AdS_4 and the N=6 Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) x U(N+M). Building on our earlier results on the ABJ partition function, we develop the systematic 1/M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the N=6 Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.

35 pages, 1 figure. v3: A sign error and the choice of boundary conditions in the higher spin one-loop calculation have been corrected. Accordingly, slight changes have been made to the details of the conclusions, improving the claim

References in corpus (15)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Symmetries of Holographic Minimal Models
• Higher Spins & Strings
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Quantum W-symmetry in AdS_3
• Anomalous radius shift in AdS(4)/CFT(3)
• Exact results on ABJ theory and the refined topological string
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Instanton Effects in Orbifold ABJM Theory
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• Holography as a Gauge Phenomenon in Higher Spin Duality
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence

Cited by in corpus (7)

• Squashing, Mass, and Holography for 3d Sphere Free Energy
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Partially Massless Higher-Spin Theory II: One-Loop Effective Actions
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• ABJ Quadrality
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$