Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)

Abstract

This short note is devoted to the study of the integrability of the bosonic string on AdS(5)xS(5) in the uniform light-cone gauge. We construct Lax connection for gauge fixed theory and we argue that it is flat.

17 pages

References in corpus (35)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Target Space Duality in String Theory
• Duality, Quotients, and Currents
• Classical/quantum integrability in AdS/CFT
• Lax Pair for Strings in Lunin-Maldacena Background
• An Introduction to T-Duality in String Theory
• Some Global Aspects of Duality is String Theory
• Finite-size Effects from Giant Magnons
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Worldsheet Scattering in AdS_5 x S^5
• Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Exact Duality Symmetries in CFT and String Theory
• Green-Schwarz Strings in TsT-transformed backgrounds
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Local conserved charges in principal chiral models
• Gauge invariant finite size spectrum of the giant magnon
• A Symplectic Structure for String Theory on Integrable Backgrounds
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• Strings as Multi-Particle States of Quantum Sigma-Models
• Non-local charges on AdS_5 x S^5 and PP-waves
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• BRST Cohomology and Nonlocal Conserved Charges
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Introduction to Duality
• Abelian duality in WZW models
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• Pure Spinor Strings in TsT Deformed Background
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)

Cited by in corpus (7)

• On T-Duality and Integrability for Strings on AdS Backgrounds
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Quantum integrability and functional equations
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Hamiltonian dynamics and the hidden symmetries of the AdS_5 x S^5 superstring
• Proper acceleration, geometric tachyon and dynamics of a fundamental string near D$p$ branes
• Integrated Lax Formalism for PCM