The all loop AdS4/CFT3 Bethe ansatz

Abstract

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of the Bethe equations up to a dressing factor whose form we also conjecture.

References added. Factor of 2 in the discussion of the (generalized) scaling function fixed

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• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Logarithmic scaling in gauge/string correspondence
• Magnon Bound States and the AdS/CFT Correspondence
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• Integrability and Transcendentality
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• Complete 1-loop test of AdS/CFT
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• Strong-coupling expansion of cusp anomaly from quantum superstring
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• A Symplectic Structure for String Theory on Integrable Backgrounds
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
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• Strings as Multi-Particle States of Quantum Sigma-Models
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• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain
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• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
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• Zero modes for the giant magnon
• Partition Functions for Membrane Theories
• Multiple M2-Branes and Plane Waves
• A note on Quantum Aspects of Multiple Membranes
• A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual
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• Semiclassical Quantisation of Finite-Gap Strings
• Toy models for wrapping effects
• Sum rules for higher twist sl(2)operators in N=4 SYM
• The generalized scaling function of AdS/CFT and semiclassical string theory
• From nesting to dressing
• Linear Sigma Models for the R^8/Z_k Orbifold

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• Marginal Deformations and 3-Algebra Structures
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• Exact Bremsstrahlung functions in ABJM theory
• Continuum limit of fishnet graphs and AdS sigma model
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
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• Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• Scattering in ABJ theories
• Superstrings on AdS_4 x CP^3 from Supergravity
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Non-planar ABJM Theory and Integrability
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• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
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• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• On the Exact Interpolating Function in ABJ Theory
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• An all order identity between ABJM and N=4 SYM four-point amplitudes
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
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• On the ABJM four-point amplitude at three loops and BDS exponentiation
• On wrapping corrections to GKP-like operators
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