Semiclassical structure constants in the eta-deformed AdS_5 x S^5: Leading finite-size corrections

Abstract

We consider the leading finite-size effects on some structure constants for the $\eta$ - deformed $Ad{S}_5\times S^5$ background in the framework of the semiclassical approach. The leading finite-size corrections are derived for the cases when we have two heavy string states represented by giant magnons and for two different choices of the light states corresponding to dilaton operator with nonzero momentum and primary scalar operators. 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.

13 pages, no figures; v2: references added

References in corpus (9)

• Giant Magnons
• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Spiky strings in $\varkappa$-deformed $AdS$