Some three-point correlation functions in the eta-deformed AdS_5 x S^5

TL;DR

This paper calculates specific three-point correlation functions in the eta-deformed AdS_5 x S^5 background using semiclassical methods, providing conjectural results for the dual gauge theory due to its unknown nature.

Contribution

It presents the first semiclassical computation of three-point functions involving finite-size giant magnons and various light states in eta-deformed AdS_5 x S^5.

Findings

Derived explicit formulas for structure constants involving giant magnons and light operators.

Provided conjectural predictions for dual gauge theory correlators.

Extended the understanding of correlation functions in deformed AdS/CFT setups.

Abstract

We compute some normalized structure constants in the $\eta$-deformed $AdS_5\times S^5$ in the framework of the semiclassical approach. This is done for the cases when the "heavy" string states are finite-size giant magnons carrying one angular momentum and for three different choices of the "light" state: primary scalar operators, dilaton operator with nonzero momentum, singlet scalar operators on higher string levels. Since the dual field theory is still unknown, the results obtained here must be considered as conjectures or as predictions from the string theory side. Keywords: Gauge/string duality, Correlation functions PACS:11.25.-w, 11.25.Tq