Seminar detail: JT Gravity Limit of Liouville CFT and Matrix Model

Date&Time	Tue Apr 26 2022 (17:00 - 18:00)
Speaker	Kenta Suzuki
Affiliation	Yukawa Inst.
Title	JT Gravity Limit of Liouville CFT and Matrix Model
Abstract	In this talk, we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c<1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Finally, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c=1 matrix quantum mechanics.
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