$Toverline{T}$ in AdS$_2$ and Quantum Mechanics

Kavli Affiliate: David J. Gross

| First 5 Authors: David J. Gross, Jorrit Kruthoff, Andrew Rolph, Edgar Shaghoulian,

| Summary:

Quantum field theory in zero spatial dimensions has a rich infrared landscape
and a universal ultraviolet, inverting the usual Wilsonian paradigm. For
holographic theories this implies a rich landscape of asymptotically AdS$_2$
geometries. Isolating the interiors of these spacetimes suggests a study of the
analog of the $Toverline{T}$ deformation in quantum mechanics, which we pursue
here. An equivalent description of this deformation in terms of coupling to
worldline gravity is proposed, and applications to quantum mechanical systems –
including the Schwarzian theory – are studied.

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