A lattice Poisson algebra for the Pohlmeyer reduction of the AdS_5 x S^5 superstring

Abstract

The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS_5 x S^5 superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding lattice Poisson algebra.

5 pages

References in corpus (4)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• 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

Cited by in corpus (14)

• On classical q-deformations of integrable sigma-models
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Exotic symmetry and monodromy equivalence in Schrodinger sigma models
• S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
• Alleviating the non-ultralocality of the AdS_5 x S^5 superstring
• Integrable Lambda Models And Chern-Simons Theories
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• On the quantization of continuous non-ultralocal integrable systems
• Lambda Models From Chern-Simons Theories
• Symplectic Deformations of Integrable Field Theories and AdS/CFT
• Pohlmeyer reduction for superstrings in AdS space
• 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