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arXiv · 1907.04873

$T\overline{T}$ in AdS$_2$ and Quantum Mechanics

David J. Gross·Jorrit Kruthoff·Andrew Rolph·Edgar Shaghoulian
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Abstract

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 $T\overline{T}$ 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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David J. Gross, Jorrit Kruthoff, Andrew Rolph, Edgar Shaghoulian. 2019-07-10. $T\overline{T}$ in AdS$_2$ and Quantum Mechanics. https://doi.org/10.1103/physrevd.101.026011

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