Solution Transformations for GS String in AdS₅ x S⁵ by Conserved Quantities

2009/03/08 by Zhan-Yun Wang, Wang, Zhan-Yun, Xiao-Ning Xie +9
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0903.1400

34 pages

arxiv created 2009/03/08 · arxiv updated 2009/12/01

Abstract

For Light-cone gauge of Green-Schwarz superstring in AdS₅ x S⁵ background, we fix two bosonic variables x⁺=τand y⁹=σ, and then perform the partial Legendre transformation of the remaining bosonic variables. We then obtain a Lagrangian which is linear in velocity after eliminating the metric of world sheet. For such a system, one can formulate its poisson bracket and Hamiltonian. Since this system is free and without constraint, the hierarchy of infinite nonlocal conserved quantities given by Bena, Polchinski and Roiban, induce solution transformations due to Jacobi identity.

Related

• Nonrelativistic expansion of Green-Schwarz strings on AdS₅ × S⁵
• Integrable deformations of string sigma models and generalized supergravity
• AdS String: Classical Solutions and Moduli Dynamics
• The Affine Hidden Symmetry and Integrability of Type IIB Superstring in AdS₅ × S⁵
• On the Integrability of String Theory in AdS₅ x S⁵