Penrose limit and string quantization in AdS_3 \times S^3

TL;DR

This paper investigates corrections to the Penrose limit of AdS_3  S^3 with NS-NS flux, analyzing how next-to-leading order terms affect string spectrum and confirming results with exact quantization.

Contribution

It introduces perturbative corrections to the Penrose limit in AdS_3  S^3 and demonstrates their agreement with exact quantization results.

Findings

Perturbative corrections match exact spectrum calculations.

Quartic interaction terms influence the worldsheet theory.

Next-to-leading order effects are systematically analyzed.

Abstract

We consider corrections to the Penrose limit of AdS_3 \times S^3 with NS-NS flux which are due to the terms next to leading order in inverse radius expansion. The worldsheet theory of a lightcone string is interacting due to the presence of quartic terms in the action. Perturbative corrections to the spectrum are shown to agree with the results from the exact quantization in AdS_3 \times S^3.