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

Abstract

We compute some normalized structure constants in the $\eta$-deformed $Ad{S}_5\times S^5$ 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

14 pages, no figures, v2: references added. arXiv admin note: substantial text overlap with arXiv:1304.2139, v3: extended v4: to appear in IJMPA

References in corpus (17)

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• Finite-size Effects from Giant Magnons
• On deformations of AdS_n x S^n supercosets
• On three-point correlation functions in the gauge/gravity duality
• Dyonic Giant Magnons
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• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Spiky strings and giant magnons on S5
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
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• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Three-point Correlation functions of Giant magnons with finite size
• Three-point correlators for giant magnons
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5

Cited by in corpus (5)

• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background