4.4 Article

Cutoff AdS3 versus the T(T)over-bar deformation

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP07(2018)027

Keywords

AdS-CFT Correspondence; Conformal Field Theory

Funding

  1. NSF [PHY-1313986]
  2. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
  3. U.S. National Science Foundation [PHY15-04541]
  4. University of California

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A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable T (T) over bar flow to AdS(3) with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. The deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the T (T) over bar operator yielding corrections corresponding to loops in the bulk.

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