On the NSR formulation of String Theory on AdS_5 X S^5

TL;DR

This paper explores the NSR formulation of superstring theory on AdS_5 X S^5, revealing branelike terms in the stress-energy tensor and analyzing their impact on scattering amplitudes, thus providing insights into the background geometry and vertex operators.

Contribution

It demonstrates that adding branelike terms in the NSR action corresponds to the AdS_5 X S^5 background and analyzes their effects on scattering amplitudes.

Findings

Stress-energy tensor contains branelike terms.

Adding branelike terms corresponds to AdS_5 X S^5 background.

Scattering amplitudes show unusual momentum dependence.

Abstract

We discuss the NSR formulation of the superstring action on AdS_5 X S^5 proposed recently by Kallosh and Tseytlin in the Green-Schwarz formalism.We show that the stress-energy tensor corresponding to the NSR action for AdS superstring contains the branelike terms, corresponding to exotic massless vertex operators (refered to as the branelike vertices). The corresponding sigma-model action has the manifest SO(1,3) X SO(6) invariance of superstring theory on AdS_5 X S^5. We argue that adding the branelike terms is equivalent to curving the space-time to obtain the AdS_5 X S^5 background. We commence the study of the proposed NSR sigma-model by analyzing the scattering amplitudes involving the branelike vertex operators.The analysis shows quite an unusual momentum dependence of these scattering amplitudes.