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arXiv · 1706.00412

Conformality of $1/N$ corrections in SYK-like models

Stéphane Dartois·Harold Erbin·Swapnamay Mondal
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Abstract

The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a suitable model for black holes in the context of the AdS/CFT holography. In this paper, we show for the colored SYK model and several of its tensor model cousins that the next-to-leading order in the large $N$ expansion preserves the conformal invariance of the $2$-point function in the strong coupling regime, up to the contribution of the pseudo-Goldstone bosons due to the explicit breaking of the symmetry and which are already seen in the leading order $4$-point function. We also comment on the composite field approach for computing correlation functions in colored tensor models.

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Stéphane Dartois, Harold Erbin, Swapnamay Mondal. 2017-06-01. Conformality of $1/N$ corrections in SYK-like models. https://doi.org/10.1103/physrevd.100.125005

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