The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge

Abstract

We continue the program initiated in hep-th/0411200 and calculate the algebra of the flat currents for the string on AdS_5 x S^5 background in the light-cone gauge with kappa-symmetry fixed. We find that the algebra has a closed form and that the non-ultralocal terms come with a weight factor e^ϕ that depends on the radial AdS_5 coordinate. Based on results in two-dimensional sigma models coupled to gravity via the dilaton field, this suggests that the algebra of transition matrices in the present case is likely to be unambigous.

arXiv comment27 pages, references added, version published in JHEP

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• Finite-size Effects from Giant Magnons
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• The WZNW model on PSU(1,1|2)
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• A Secret Symmetry of the AdS/CFT S-matrix
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Yangians, S-matrices and AdS/CFT
• A Yangian Double for the AdS/CFT Classical r-matrix
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• Giant Magnon in NS5-brane Background
• Hamiltonian dynamics and the hidden symmetries of the AdS_5 x S^5 superstring
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Open Spinning Strings and AdS/dCFT Duality
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Pulsating Strings With Angular Momenta
• Structure of the string R-matrix
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
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• On the pulsating strings in AdS_4 x CP3
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