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.

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

References in corpus (2)

• Exact expressions for quantum corrections to spinning strings
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies

Cited by in corpus (48)

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• 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
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• 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 $Ad{S}_5\times S^5$
• A Universality Test of the Quantum String Bethe Ansatz
• Towards integrability for AdS3/CFT2
• 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
• Strings as Multi-Particle States of Quantum Sigma-Models
• Classical Open String Integrability
• 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 Yangian Double for the AdS/CFT Classical r-matrix
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Correlation functions of magnon and spike
• On the Scattering Phase for AdS_5 x S^5 Strings
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• TTbar deformation and the light-cone gauge
• Correlation function of dyonic strings
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• Structure of the string R-matrix
• 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
• The Bethe Ansatz for AdS5 x S5 Bound States
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Microscopic formulation of the S-matrix in AdS/CFT
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• 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)
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge