The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring

Abstract

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory.

30 pages, one figure

References in corpus (9)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• On AdS_5 x S^5 String S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Strings as Multi-Particle States of Quantum Sigma-Models
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory

Cited by in corpus (38)

• 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
• 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 S-matrix of String Bound States
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Gauge invariant finite size spectrum of the giant magnon
• Strong coupling limit of Bethe Ansatz equations
• Finite-Size Effects for Dyonic Giant Magnons
• Comment on the Scaling Function in AdS4 x CP3
• Konishi operator at intermediate coupling
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Classical r-matrix of the su(2|2) SYM spin-chain
• Yangians, S-matrices and AdS/CFT
• A Yangian Double for the AdS/CFT Classical r-matrix
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Coordinate Bethe Ansatz for the String S-Matrix
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Giant magnon bound states from strongly coupled N=4 SYM
• Semiclassical Quantization of the Giant Magnon
• Universal blocks of the AdS/CFT Scattering Matrix
• Operator Mixing and the AdS/CFT correspondence
• On the Spectrum of the AdS_5xS^5 String at large lambda
• The Bethe Ansatz for AdS5 x S5 Bound States
• On the origin of the dressing phase in N=4 Super Yang-Mills
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Microscopic formulation of the S-matrix in AdS/CFT
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring
• Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities