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arXiv · 1807.11401

Holography at finite cutoff with a $T^2$ deformation

Thomas Hartman·Jorrit Kruthoff·Edgar Shaghoulian·Amirhossein Tajdini
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Abstract

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We also derive the deformation dual to arbitrary bulk matter theories. Generally, the deformations involve background fields as well as CFT operators. By keeping track of these background fields along the flow, we demonstrate how to match correlation functions on the two sides in some simple examples, as well as other observables.

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Thomas Hartman, Jorrit Kruthoff, Edgar Shaghoulian, Amirhossein Tajdini. 2019-05-28. Holography at finite cutoff with a $T^2$ deformation. https://doi.org/10.1007/jhep03(2019)004

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