Three-point correlation functions from semiclassical circular strings

TL;DR

This paper computes three-point correlation functions at strong coupling using semiclassical methods for specific circular string solutions with multiple angular momenta in AdS_5 x S^5, extending the understanding of string interactions beyond supergravity.

Contribution

It introduces a semiclassical approach to evaluate three-point functions involving heavy circular strings with multiple angular momenta and a light state in AdS_5 x S^5.

Findings

Explicit formulas for three-point functions with circular string states.

Analysis of different light string states and their effects.

Extension of semiclassical methods to complex string configurations.

Abstract

The strong-coupling limit of three-point correlation functions of local operators can be analyzed beyond the supergravity regime using vertex operators representing spinning string states. When two of the vertex operators correspond to heavy string states having large quantum numbers, while the third operator corresponds to a light state with fixed charges, the correlator can be computed in the large string tension limit by means of a semiclassical approximation. We study the case when the heavy string states are circular string solutions with one AdS_5 spin and three different angular momenta along S^5, for several choices of the light string state.