SYK/AdS duality with Yang-Baxter deformations

Abstract In this paper, based on the notion of SYK/AdS duality we explore the effects of Yang-Baxter (YB) deformations on the SYK spectrum at strong coupling. In the first part of our analysis, we explore the consequences of YB deformations through the Kaluza-Klein (KK) reduction on (AdS2) η × (S 1)...

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Bibliographic Details
Main Authors: Arindam Lala, Dibakar Roychowdhury
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2018)073
Description
Summary:Abstract In this paper, based on the notion of SYK/AdS duality we explore the effects of Yang-Baxter (YB) deformations on the SYK spectrum at strong coupling. In the first part of our analysis, we explore the consequences of YB deformations through the Kaluza-Klein (KK) reduction on (AdS2) η × (S 1)/Z 2. It turns out that the YB effects (on the SYK spectrum) starts showing off at quadratic order in 1/J expansion. For the rest of the analysis, we provide an interpretation for the YB deformations in terms of bi-local/collective field excitations of the SYK model. Using large N techniques, we evaluate the effective action upto quadratic order in the fluctuations and estimate 1/J 2 corrections to the correlation function at strong coupling.
ISSN:1029-8479