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2017

More on the New Large $D$ Limit of Matrix Models

Azeyanagi, Tatsuo, Ferrari, Frank, Gregori, Paolo et al.

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In this paper, we extend the recent analysis of the new large $D$ limit of matrix models to the cases where the action contains arbitrary multi-trace interaction terms as well as to arbitrary correlation functions.

We discuss both the cases of complex and Hermitian matrices, with $\text{U}(N)^{2}\times\text{O}(D)$ and $\text{U}(N)\times\text{O}(D)$ symmetries respectively.
In the latter case, the new large $D$ limit is consistent for planar diagrams; at higher genera, it crucially requires the tracelessness condition.
For similar reasons, the large $N$ limit of tensor models with reduced symmetries is typically inconsistent already at leading order without the tracelessness condition.

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Then

S. Carrozza and A. Tanasa, Lett. Math. Phys. 106
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2016
Later among the works it cites.
W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev, Supersymmetric SYK models, arXiv:1610.08917, T. Nishinaka and S. Terashima, A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling , arXiv:1611.10290, C. Peng, M. Spradlin and A. Volovich, J. High Energy Phys
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R. Gurau, The complete 1 / N 1/N expansion of a SYK-like tensor model, arXiv:1611.04032, C. Krishnan, S. Sanyal and P. N. B. Subramanian, Quantum Chaos and Holographic Tensor Models, arXiv:1612.06330, V. Bonzom, L. Lionni and A. Tanasa, J. Math. Phys
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