On the Quantization of the GS String on $Ad{S}_5\times S^5$

Abstract

We discuss the quantization of the Green-Schwarz string action on $Ad{S}_5\times S^5$. We construct consistent, globally well-defined, gauge fixing choices for kappa symmetry and worldsheet diffeomorphism invariance. We then proceed to quantize the theory in a perturbation series in the inverse radius of curvature, in a background field expansion. We discuss vertex operators and correlation functions, and demonstrate agreement with supergravity results in the appropriate limit.

17 pages, added remarks on gauge choice in section 3

References in corpus (7)

• Gauge Theory Correlators from Non-Critical String Theory
• Type IIB superstring action in AdS_5 x S^5 background
• Near Horizon Superspace
• Simplifying superstring action on AdS_5 x S^5
• Vacua of M-theory and string theory
• The GS String Action on AdS_5 x S^5
• A k Gauge Fixed Type IIB Superstring Action on AdS_{5} X S_{5}

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• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• Wilson Loop Correlator in the AdS/CFT Correspondence
• Strings, Branes and Extra Dimensions
• Superstring Perturbation Theory and Ramond-Ramond Backgrounds
• Classical AdS Superstring Mechanics
• Quantization of Superstrings in Ramond-Ramond Backgrounds
• Closed strings in Ramond-Ramond backgrounds
• Strings in Ramond-Ramond backgrounds