An HHL 3-point correlation function in the η-deformed AdS5×S5

Changrim Ahn; Plamen Bozhilov

doi:10.1016/j.physletb.2015.02.032

An HHL 3-point correlation function in the η-deformed AdS₅×S⁵

Changrim Ahn, Plamen Bozhilov

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We derive the 3-point correlation function between two giant magnons heavy string states and the light dilaton operator with zero momentum in the η-deformed AdS₅×S⁵ valid for any J₁ and η in the semiclassical limit. We show that this result satisfies a consistency relation between the 3-point correlation function and the conformal dimension of the giant magnon. We also provide a leading finite J₁ correction explicitly.

Original language	English
Pages (from-to)	121-126
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	743
DOIs	https://doi.org/10.1016/j.physletb.2015.02.032
State	Published - 9 Apr 2015

Bibliographical note

Funding Information:
This work was partially supported by the Korean–Eastern European cooperation in research and development through the National Research Foundation of Korea (NRF) ( NRF-2013K1A3A1A39073412 ) (CA) and the Brain Pool Program ( 131S-1-3-0534 ) (PB) both funded by the Ministry of Science, ICT and Future Planning . CA is also supported in part by the SFB 647 “Raum-Zeit-Materie. Analytische und Geometrische Strukturen” and the Marie Curie Network GATIS of the European Union's Seventh Framework Programme FP7-2007-2013 under grant agreement No. 317089 .

Publisher Copyright:
© 2015 The Authors.

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10.1016/j.physletb.2015.02.032

Cite this

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abstract = "We derive the 3-point correlation function between two giant magnons heavy string states and the light dilaton operator with zero momentum in the η-deformed AdS5×S5 valid for any J1 and η in the semiclassical limit. We show that this result satisfies a consistency relation between the 3-point correlation function and the conformal dimension of the giant magnon. We also provide a leading finite J1 correction explicitly.",

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note = "Funding Information: This work was partially supported by the Korean–Eastern European cooperation in research and development through the National Research Foundation of Korea (NRF) ( NRF-2013K1A3A1A39073412 ) (CA) and the Brain Pool Program ( 131S-1-3-0534 ) (PB) both funded by the Ministry of Science, ICT and Future Planning . CA is also supported in part by the SFB 647 “Raum-Zeit-Materie. Analytische und Geometrische Strukturen” and the Marie Curie Network GATIS of the European Union's Seventh Framework Programme FP7-2007-2013 under grant agreement No. 317089 . Publisher Copyright: {\textcopyright} 2015 The Authors.",

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AB - We derive the 3-point correlation function between two giant magnons heavy string states and the light dilaton operator with zero momentum in the η-deformed AdS5×S5 valid for any J1 and η in the semiclassical limit. We show that this result satisfies a consistency relation between the 3-point correlation function and the conformal dimension of the giant magnon. We also provide a leading finite J1 correction explicitly.

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