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

Arvind Rajaraman·Moshe Rozali
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Abstract

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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Arvind Rajaraman, Moshe Rozali. 1999-02-28. On the Quantization of the GS String on $AdS_5 \times S^5$. https://doi.org/10.1016/s0370-2693(99)01193-4

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