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2017

Notes on Melonic $O(N)^{q-1}$ Tensor Models

Choudhury, Sayantan, Dey, Anshuman, Halder, Indranil et al.

Understand

It has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group $O(N)^{q-1}$ agrees with the large $N$ limit of the SYK model.

In these notes we investigate aspects of the dynamics of the $O(N)^{q-1}$ theories that differ from their SYK counterparts.
We argue that the spectrum of fluctuations about the finite temperature saddle point in these theories has $(q-1)\frac{N^2}{2}$ new light modes in addition to the light Schwarzian mode that exists even in the SYK model, suggesting that the bulk dual description of theories differ significantly if they both exist.
We also study the thermal partition function of a mass deformed version of the SYK model.

Built on

D. J. Gross and E. Witten,
1980
Earlier work this paper cites.
S. R. Wadia,
1980
Earlier work this paper cites.
J. M. Maldacena,
2003
Earlier work this paper cites.
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk,
2004
Earlier work this paper cites.
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk,
2005
Earlier work this paper cites.
S. Sachdev,
Original
2010
Earlier work this paper cites.
R. Gurau,
Original
2011
Earlier work this paper cites.
R. Gurau,
Original
2011
Earlier work this paper cites.
R. Gurau and V. Rivasseau,
Original
2011
Earlier work this paper cites.