The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations

Abstract

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5xS5. We then quantize the theory perturbatively in the near plane-wave limit, and compute the leading 1/J correction to a generic string state from the rank-1 subsectors. These investigations enable us to propose a new set of light-cone Bethe equations for the quantum string. The equations have a simple form and yield the correct spinning string and flat space limits. Finally, we clarify the notion of closed sectors in string theory by proving the existence of perturbative effective string Hamiltonians which are direct analogues of (all loop) dilatation operators in the dual N=4 gauge theory.

arXiv comment59 pages, no figures. v2: typos fixed. v3: more typos fixed, published version

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Cited by in corpus (94)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• String hypothesis for the AdS_5 x S^5 mirror
• On AdS_5 x S^5 String S-matrix
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Quantum Deformations of the One-Dimensional Hubbard Model
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Worldsheet Scattering in AdS_5 x S^5
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• On the Hopf algebra structure of the AdS/CFT S-matrix
• The S-matrix of String Bound States
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Towards integrability for AdS3/CFT2
• A Universality Test of the Quantum String Bethe Ansatz
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Bethe Ansatz in Stringy Sigma Models
• Two-dimensional S-matrices from unitarity cuts
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Strings as Multi-Particle States of Quantum Sigma-Models
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Classical Open String Integrability
• Giant magnons in TsT-transformed AdS_5 x S^5
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Secret Symmetry of the AdS/CFT S-matrix
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• A light-cone approach to three-point functions in AdS_5 x S^5
• A Yangian Double for the AdS/CFT Classical r-matrix
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Worldsheet Form Factors in AdS/CFT
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Correlation functions of magnon and spike
• Non-split and split deformations of AdS_5
• On the Scattering Phase for AdS_5 x S^5 Strings
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• TTbar deformation and the light-cone gauge
• Correlation function of dyonic strings
• The S-matrix algebra of the AdS2 X S2 superstring
• Pulsating Strings With Angular Momenta
• Finite size effect on the magnon's correlation functions
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• Structure of the string R-matrix
• Integrable strings for AdS/CFT
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• The Bethe Ansatz for AdS5 x S5 Bound States
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• On the pulsating strings in AdS_5 x T^{1,1}
• On the reflection of magnon bound states
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Pure Spinor Strings in TsT Deformed Background
• On the pulsating strings in AdS_4 x CP3
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbit method quantization of the AdS${}_2$ superparticle
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• The Near-Flat-Space and BMN Limits for Strings in AdS4 x CP3 at One Loop
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Integrable theories and generalized graded Maillet algebras
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Microscopic formulation of the S-matrix in AdS/CFT
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• Canonical Analysis of New Non-Relativistic String Action and Uniform Light-Cone Gauge Formulation
• New Non-Relativistic String in AdS(5)xS(5)
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge