The AdS_5 x S^5 superstrings in the generalized light-cone gauge

Abstract

The kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background is treated canonically in a version of the light-cone gauge. After reviewing the generalized light-cone gauge for a bosonic sigma model, we present the Hamiltonian dynamics of the Green-Schwarz action by using the transverse degrees of freedom. The remaining fermionic constraints are all second class, which we treat by the Dirac bracket. Upon quantization, all of the transverse coordinates are inevitably non-commutative.

22 pages; v2: references added, typos corrected

References in corpus (35)

• Type IIB superstring action in AdS_5 x S^5 background
• Super-Poincare Covariant Quantization of the Superstring
• Giant Magnons
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Finite-size Effects from Giant Magnons
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Near Horizon Superspace
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• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Infinite spin limit of semiclassical string states
• Superstrings on AdS_5 x S^5 supertwistor space
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• On the Berkovits Covariant Quantization of GS Superstring
• Multispin Giant Magnons
• How Accurate is the Quantum String Bethe Ansatz?
• Magnons, Classical Strings and beta-Deformations
• Covariant Quantization of the Superstring
• A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Fat Magnon
• Aspects of emergent geometry in the AdS/CFT context
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Superconformal Actions in Killing Gauge
• On the Scattering Phase for AdS_5 x S^5 Strings
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Magnon-Like Dispersion Relation from M-Theory
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• Kinky Strings in AdS_5 x S^5

Cited by in corpus (6)

• Worldsheet Scattering in AdS_5 x S^5
• Single spike solutions for strings on S2 and S3
• Scattering of single spikes
• Yang-Baxter deformations of the AdS${}_5\times$S${}^5$ supercoset sigma model from 4D Chern-Simons theory
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge