Alleviating the non-ultralocality of the AdS_5 x S^5 superstring

Abstract

We generalize the initial steps of the Faddeev-Reshetikhin procedure to the AdS_5 x S^5 superstring theory. Specifically, we propose a modification of the Poisson bracket whose alleviated non-ultralocality enables to write down a lattice algebra for the Lax matrix. We then show that the dynamics of the Pohlmeyer reduction of the AdS_5 x S^5 superstring can be naturally reproduced with respect to this modified Poisson bracket. This work generalizes the alleviation procedure recently developed for symmetric space sigma-models. It also shows that the lattice algebra recently obtained for the AdS_5 x S^5 semi-symmetric space sine-Gordon theory coincides with the one obtained by the alleviation procedure.

18 pages

References in corpus (10)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Pohlmeyer reduction revisited
• On reduced models for superstrings on AdS_n x S^n
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Alleviating the non-ultralocality of coset sigma models through a generalized Faddeev-Reshetikhin procedure
• Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
• A lattice Poisson algebra for the Pohlmeyer reduction of the AdS_5 x S^5 superstring
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction

Cited by in corpus (28)

• An integrable deformation of the AdS_5 x S^5 superstring action
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Integrable Deformations of Strings on Symmetric Spaces
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Exotic symmetry and monodromy equivalence in Schrodinger sigma models
• S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
• Local charges in involution and hierarchies in integrable sigma-models
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Homogeneous Yang-Baxter deformations as undeformed yet twisted models
• Integrable Lambda Models And Chern-Simons Theories
• Quantum Inverse Scattering and the Lambda Deformed Principal Chiral Model
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• On the quantization of continuous non-ultralocal integrable systems
• Lambda Models From Chern-Simons Theories
• The Structure of Non-Abelian Kinks
• Exploring The Lambda Model Of The Hybrid Superstring
• Yangian Algebra and Correlation Functions in Planar Gauge Theories
• Symplectic Deformations of Integrable Field Theories and AdS/CFT
• On the equivalence theorem for integrable systems
• Deformed WZW Models and Hodge Theory -- Part I
• Integrable theories and generalized graded Maillet algebras
• The r-matrix of the Alday-Arutyunov-Frolov model
• Integrability of D1-brane on Group Manifold with Mixed Three Form Flux
• Integrability of D1-brane on Group Manifold
• Instantons, Integrability and Discrete Light-Cone Quantisation
• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
• Generalized sine-Gordon models and quantum braided groups
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories