Holography of TTbar deformation in quantum mechanics

Abstract: We discuss the holographic interpretation of T^2 deformation of quantum mechanical system. The deformation can be thought of as the dimensional reduction of TTbar deformation in 2d, which preserves the trace relation. The 2d dual gravity theory is Jackiw-Teitelboim gravity, which is a reduction of 3d Einstein gravity. The variation principle is employed to find the boundary conditions between deformed and undeformed theory. The mixed boundary conditions corresponds to Dirichlet boundary conditions at finite cutoff via on-shell condition. The trace of the deformed stress tensor in 2d gravity then reproduces the spectrum of the deformed quantum mechanical system such as Schwarzian theory. We also comment on the JTbar deformation in 1d.

HEP - theory

Audience: researchers in the topic

TTbar Deformation and Integrability

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