Superstring Vertex Operators in an AdS_5 x S^5 Background

TL;DR

This paper constructs physical vertex operators for superstrings in an AdS_5 x S^5 background, revealing their structure closely resembles flat space vertex operators, advancing the understanding of string fluctuations in curved backgrounds.

Contribution

It introduces a method to construct on-shell vertex operators in AdS_5 x S^5, bridging the gap between flat space and curved background string theory.

Findings

Vertex operators constructed for superstrings in AdS_5 x S^5.

Operators resemble flat space massless vertex operators.

Provides a foundation for studying string fluctuations in AdS backgrounds.

Abstract

A quantizable action has recently been proposed for the superstring in an AdS_5 x S^5 background with Ramond-Ramond flux. In this paper, we construct physical vertex operators corresponding to on-shell fluctuations around the AdS_5 x S^5 background. The structure of these AdS_5 x S^5 vertex operators closely resembles the structure of the massless vertex operators in a flat background.