TBA and Y-system for planar $Ad{S}_4/CF{T}_3$

Abstract

We conjecture the set of asymptotic Bethe Ansatz equations for the {\it mirror} model of the ${\text{AdS}}_4\times {\mathbb{CP}}^3$ string theory, corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge theory in three dimensions. Hence, we derive the (vacuum energy) thermodynamic Bethe Ansatz equations and the Y-system describing the {\it direct} ${\text{AdS}}_4/{\text{CFT}}_3$ string theory.

References in corpus (18)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• String hypothesis for the AdS_5 x S^5 mirror
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• On the Singularities of the Magnon S-matrix
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• A Generalized Scaling Function for AdS/CFT
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• 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
• On the Scattering of Magnon Boundstates
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms

Cited by in corpus (56)

• Y-system for Scattering Amplitudes
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• T-systems and Y-systems in integrable systems
• 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
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• 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
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• 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
• Correlation functions of magnon and spike
• Lectures on S-matrices and Integrability
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• On the Exact Interpolating Function in ABJ Theory
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On wrapping corrections to GKP-like operators
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• 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
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• ABJM quantum spectral curve and Mellin transform
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• The Leading Order Dressing Phase in ABJM Theory
• Orbit method quantization of the AdS${}_2$ superparticle
• 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
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• 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
• 12 loops and triple wrapping in ABJM theory from integrability
• Beyond cusp anomalous dimension from integrability in SYM${}_4$
• Boundary bound states and integrable Wilson loops in ABJM