スピーカー：鈴木 健太 (立教大)

タイトル：Factorizing Wormholes in a Partially Disorder-Averaged SYK Model

アブストラクト：
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical many-body system
with random all-to-all interactions on fermionic N sites (N>>1). This model
is known to saturate the maximal chaos bound of many-body system. Based on
this fact, the model brought us vast amount of insights into many-body
chaos, quantum information, quantum black holes and wormholes in the sense
of the AdS/CFT correspondence.
In this talk, starting from reviewing basic aspects of the SYK model in the
large N limit, we highlight some application of the model for many-body
chaos and the so-called "near" AdS2/CFT1 correspondence. We also discuss
some puzzles about wormhole geometries in the AdS/CFT and implications from
the SYK model. Finally, we introduce a partially disorder-averaged SYK
model, by modifying the probability distribution of the random coupling
constant. We show that this model smoothly interpolates between the
ordinary totally disorder-averaged SYK model and the totally fixed-coupling
model. For the large N effective description, in addition to the usual
bi-local collective fields, we also introduce a new additional set of local
collective fields. These local fields can be understood as the "half" of
the bi-local collective fields, and we study implications of these new
local collective fields for wormhole physics.