Classical Exchange Algebra of the Superstring on S^5 with the AdS-time

Abstract

A classical exchange algebra of the superstring on S^5 with the AdS-time is shown on the light-like plane. To this end we use the geometrical method of which consistency is guaranteed by the classical Yang-Baxter equation. The Dirac method does not work, there being constraints which contain first-class and second-class and one can disentangle with each other keeping the isometry hardly.

12 pages, v2: argument on alternative representation of S^5 spherical functions added, typos corrected, one reference added, matches journal version

References in corpus (3)

• On the Hopf algebra structure of the AdS/CFT S-matrix
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Classical r-matrix of the su(2|2) SYM spin-chain

Cited by in corpus (6)

• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Yangians, S-matrices and AdS/CFT
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Structure of the string R-matrix
• Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)
• Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra