On the Quantization of the GS String on $AdS_5 \times S^5$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, added remarks on gauge choice in section 3

Scientific paper

10.1016/S0370-2693(99)01193-4

We discuss the quantization of the Green-Schwarz string action on $AdS_5 \times S^5$. 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.

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