9:39 a.m.
Hi everybody,
The result of the poll seems clear, so we will meet this *Friday 5th at
11:30 in Aula C* to finish with the topic of last Friday. In this session I
will sketch the derivation of the thermal partition function of JT gravity
and (hopefully) its equivalence to a RMT ensemble.
*Title: *JT gravity and its connection to Random Matrix Theory
*Abstract:* Jackiw-Teitelboim (JT) gravity is a very simple dilaton-gravity
toy model in two dimensions. For a long time, little attention has been put
into this and other similar models that are very far from the real-world
gravity but recent developments have brought it back into focus in the high
energy community. Its relation with the quantum-chaotic model of
Sachdev-Ye-Kitaev (SYK) is one of such developments, but an even stronger
equivalence has been found with some random matrix theory ensembles.
Indeed, the JT model is the first gravity theory for which the exact
Euclidean path integral has been performed exactly at all loops, a fact
that by itself makes this theory worth studying. In this session I will
sketch the derivation of the thermal partition function of JT gravity and
(hopefully) its equivalence to a RMT ensemble.
*References: *
https://arxiv.org/abs/1711.08482 and https://arxiv.org/pdf/1606.01857.pdf
for some JT basics and connections to SYK.
https://arxiv.org/abs/1903.11115 for the calculation of the path integral
and the proof of its equivalence to RMT.
*Zoom details*
Tema: Cordas Club
Hora: 5 mar. 2021 11:30 a. m. Madrid
Unirse a la reunión Zoom
https://us02web.zoom.us/j/82020421452?pwd=Rk1CNUI4WEF2MmF2NWhXMjJNd3JsQT09
ID de reunión: 820 2042 1452
Código de acceso: AdSCFT
*Covid restrictions:* The room is big and we can safely keep a distance
from each other, but of course all protocols are to be respected and masks
will be mandatory for all attendants.
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See you there!
Javi