Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5

TL;DR

This paper computes a specific extremal three-point correlator for circular winding strings in AdS5xS5, revealing conformal invariance and the effects of winding and spins in a semiclassical framework.

Contribution

It provides a semiclassical evaluation of a three-point correlator involving circular winding strings with spins and winding numbers, focusing on an extremal, conformally invariant case.

Findings

Correlator is extremal and conformally invariant.

Two vertex operators are at the same boundary point.

Results depend on winding numbers and spins.

Abstract

We study a three-point correlator of the three heavy vertex operators representing the circular winding string states which are point-like in AdS_5 and rotating with two spins and two winding numbers in S^5. We restrict ourselves to the case that two of the three vertex operators are located at the same point. We evaluate semiclassically the specific three-point correlator on a stationary splitting string trajectory which is mapped to the complex plane with three punctures. It becomes an extremal and 4d conformal invariant three-point correlator on the boundary. The marginality condition of the vertex operator is discussed.