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 (1)

• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring

Cited by in corpus (2)

• Single spike solutions for strings on S2 and S3
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge