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SUMMARY:Notes on Melonic O(N)^{q−1} Tensor Models (Quantum Space
time Seminar)
DTSTART;VALUE=DATE-TIME:20170911T060000Z
DTEND;VALUE=DATE-TIME:20170911T070000Z
DTSTAMP;VALUE=DATE-TIME:20180525T221942Z
UID:indico-event-5864@cern.ch
DESCRIPTION: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 ag
rees with the large N limit of the SYK model. In this talk we will investi
gate aspects of the dynamics of the O(N)q-1 theories that differ from thei
r SYK counterparts. We argue that the spectrum of fluctuations about the f
inite temperature saddle point in these theories has (q-1) (N2)/2 new ligh
t modes in addition to the light Schwarzian mode that exists even in the S
YK model\, suggesting that the bulk dual description of theories differ si
gnificantly if they both exist. We also study the thermal partition functi
on of a mass deformed version of the SYK model. At large mass we show that
the effective entropy of this theory grows with energy like E ln E (i.e.
faster than Hagedorn) up to energies of order N2. The canonical partition
function of the model displays a deconfinement or Hawking Page type phase
transition at temperatures of order 1/ ln N. We derive these results in th
e large mass limit but argue that they are qualitatively robust to small c
orrections in J/m.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.
py?confId=5864
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5864
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