On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5

TL;DR

This paper computes the leading semiclassical corrections to three-point functions involving two heavy and one light string states in AdS_5 x S^5, revealing how these correlators scale with string parameters.

Contribution

It introduces a semiclassical approach to evaluate three-point functions with mixed heavy and light string states in AdS_5 x S^5, extending previous methods to include quantum corrections.

Findings

Three-point functions scale as a power of the spin parameter of heavy states.

The behavior is consistent for states with large spin and small angular momentum.

Results provide insight into correlators involving massive string states in AdS/CFT.

Abstract

We consider the leading large string tension correction to correlation functions of three vertex operators of particular massive string states in AdS_5 x S^5 string theory. We assume that two of these states are "heavy" carrying large spins (of order string tension) and thus can be treated semiclassically while the third state is "light" having fixed quantum numbers. We study several examples. In the case when the "heavy" states are described by a folded string with large spin in AdS_5 the 3-point function scales as a semiclassical spin parameter of the "heavy" state in power of the string level of the "light" massive string state. We observe similar behavior in the case of "heavy" states which admit a small angular momentum limit which may thus represent correlators of three quantum massive string states.