Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3

Abstract

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe equations which we conjecture. We also propose generalization of the TBA equations for excited states. The recently proposed Y-system is completely consistent with the TBA equations for a large subsector of the theory, but should be modified in general. We find the general asymptotic infinite length solution of the Y-system, and also several solutions to all wrapping orders in the strong coupling scaling limit. To make a comparison with results obtained from string theory, we assume that the all-loop Bethe ansatz of N.G. and P. Vieira is the valid worldsheet theory description in the asymptotic regime. In this case we find complete agreement, to all orders in wrappings, between the solution of our Y-system and generic quasi-classical string spectrum in AdS3 x S.

references added + minor changes; published version

References in corpus (45)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• Integrability and the AdS(3)/CFT(2) correspondence
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• String hypothesis for the AdS_5 x S^5 mirror
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Wrapping interactions at strong coupling -- the giant magnon
• 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
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Anomalous radius shift in AdS(4)/CFT(3)
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Complete 1-loop test of AdS/CFT
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• Magnon dispersion to four loops in the ABJM and ABJ models
• Comment on the Scaling Function in AdS4 x CP3
• Semi-classical strings in AdS_4*CP^3
• 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
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Non-planar ABJM Theory and Integrability
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On the Non-renormalization of the AdS Radius
• On the Fermionic Frequencies of Circular Strings
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models

Cited by in corpus (52)

• Y-system for Scattering Amplitudes
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• Strings on Semisymmetric Superspaces
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• The Quantum Spectral Curve of the ABJM theory
• Analytic Solution of Bremsstrahlung TBA
• Towards integrability for AdS3/CFT2
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Magnon dispersion to four loops in the ABJM and ABJ models
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Introduction to the thermodynamic Bethe ansatz
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• Exact Bremsstrahlung functions in ABJM theory
• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• Lectures on S-matrices and Integrability
• On the Exact Interpolating Function in ABJ Theory
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• On wrapping corrections to GKP-like operators
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• First-principles derivation of the AdS/CFT Y-systems
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Finite size effect on the magnon's correlation functions
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Y-system for Z_S Orbifolds of N=4 SYM
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• ABJM quantum spectral curve and Mellin transform
• The Leading Order Dressing Phase in ABJM Theory
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Strong Wilson polygons from the lodge of free and bound mesons
• Y-system for $\gamma$-deformed ABJM Theory
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Correlation functions of the ABJM model
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Exact results for the low energy AdS(4)XCP(3) string theory
• Exact Results in Supersymmetric Gauge Theories
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• 12 loops and triple wrapping in ABJM theory from integrability
• Beyond cusp anomalous dimension from integrability in SYM${}_4$