In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in the large N limit, we discuss at non-linear-level the deduction of the zero mode effective Schwarzian action, featuring emergent finite reparametrization symmetry. We then discuss the question of identifying the bulk space-time of the SYK model. We explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions, leading to a dual theory with Euclidean AdS signature with additional leg-factors. We show that the SYK spectrum and the bi-local propagator can be obtained from a Horava-Witten type compactification of a three dimensional model.
CITATION STYLE
Das, S. R., Ghosh, A., Jevicki, A., & Suzuki, K. (2018). Duality in the Sachdev-Ye-Kitaev model. In Springer Proceedings in Mathematics and Statistics (Vol. 255, pp. 43–61). Springer New York LLC. https://doi.org/10.1007/978-981-13-2179-5_4
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