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

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arxiv 1907.04873 v1 pith:LISSAZH5 submitted 2019-07-10 hep-th gr-qc

David J. Gross , Jorrit Kruthoff , Andrew Rolph , Edgar Shaghoulian This is my paper · ORCID
classification hep-thgr-qc
keywords quantumdeformationlandscapemechanicsoverlinerichtheoryanalog
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...

  2. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  3. Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff

    hep-th 2025-01 conditional novelty 6.0 of 10

    For holography with a finite ETW-brane cutoff, entanglement wedge nesting requires the two intervals' RT surfaces to be spacelike separated, a condition stronger than spacelike separation of the intervals themselves.

  4. Boundary Quantum Field Theories Perturbed by ${\rm T}\bar{\rm T}$: Towards a Form Factor Program

    hep-th 2025-01 reject novelty 6.0 of 10

    The paper constructs deformed boundary minimal form factors for T anti-T perturbed theories and rewrites the sinh-Gordon Dirichlet minimal form factor in the same block form, but the central solution formula has a sign error.

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