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arXiv · 1808.08380

SYK/AdS duality with Yang-Baxter deformations

Arindam Lala·Dibakar Roychowdhury
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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 $ (AdS_2)_{\eta}\times (S^1)/Z_2 $. It turns out that the YB effects (on the SYK spectrum) starts showing off at \textit{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.

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Arindam Lala, Dibakar Roychowdhury. 2018-08-25. SYK/AdS duality with Yang-Baxter deformations. https://doi.org/10.1007/jhep12(2018)073

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