Semiclassical Analysis of String/Gauge Duality on Non-commutative Space

TL;DR

This paper employs semiclassical techniques to analyze closed strings in a non-commutative AdS/CFT background, revealing a time-dependent spectrum that reflects the RG-flow of the dual noncommutative gauge theory.

Contribution

It introduces a semiclassical approach to study string dynamics in non-commutative spaces and links string spectra to RG-flow in the dual gauge theory.

Findings

Time-dependent string spectrum derived from quantization.

Connection between string dynamics and RG-flow of noncommutative Yang-Mills.

Analysis of both point-like and rotating closed strings.

Abstract

We use semiclassical method to study closed strings in the modified AdS_5*S^5 background with constant B-fields. The point-like closed strings and the streched closed strings rotating around the big circle of S^5 are considered. Quantization of these closed string leads to a time-dependent string spectrum, which we argue to correspond to the RG-flow of the dual noncommutative Yang Mills theory.