Spinning strings at one-loop in AdS_4 x P^3

Abstract

We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and angular momentum J in P^3. We calculate the one-loop correction to its energy in the scaling limit of both ln S and J large with their ratio kept fixed. This result should correspond to the first subleading strong coupling correction to the anomalous dimension of operators of the type Tr(D^S(Y^\dagger Y)^J) in the dual N=6 Chern-Simons-matter theory. Our result appears to depart from the predictions for the generalized scaling function found from the all-loop Bethe equations conjectured for this AdS_4/CFT_3 duality. We comment on the possible origin of this difference.

24 pages; v2: References added and typos corrected

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• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
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• Algebraic structures on parallel M2-branes
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Cited by in corpus (23)

• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Anomalous radius shift in AdS(4)/CFT(3)
• Comment on the Scaling Function in AdS4 x CP3
• 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
• Non-planar ABJM Theory and Integrability
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• A note on the reduction of the AdS4 x CP3 string sigma model
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Zero Modes for the Boundary Giant Magnons
• 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