The AdS4/CFT3 algebraic curve

Abstract

We present the OSp(2,2|6) symmetric algebraic curve for the AdS4/CFT3 duality recently proposed in arXiv:0806.1218. It encodes all classical string solutions at strong t'Hooft coupling and the full two loop spectrum of long single trace gauge invariant operators in the weak coupling regime. This construction can also be used to compute the complete superstring semi-classical spectrum around any classical solution. We exemplify our method on the BMN point-like string.

Typos and factors of 2 fixed. Main results are not affected

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
• Modeling Multiple M2's
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• The Bethe ansatz for superconformal Chern-Simons
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• Multiple Membranes from Gauged Supergravity
• Quantum Wrapped Giant Magnon
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• Coulomb Branch of the Lorentzian Three Algebra Theory
• Not One Bit of de Sitter Information
• Partition Functions for Membrane Theories
• A note on Quantum Aspects of Multiple Membranes
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Cited by in corpus (19)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• Anomalous radius shift in AdS(4)/CFT(3)
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Comment on the Scaling Function in AdS4 x CP3
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Topological branes, p-algebras and generalized Nahm equations
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Giant Magnons on CP^3 by Dressing Method
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Semiclassical strings in AdS(3) X S^2
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Fermionic reductions of the AdS4 x CP3 superstring