Moving the CFT into the bulk with T T ¯

McGough, Lauren; Mezei, Márk; Verlinde, Herman

doi:10.1007/jhep04(2018)010

Title: Moving the CFT into the bulk with $T \bar{T}$

Journal Article · Tue Apr 03 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2018)010· OSTI ID:1512424

McGough, Lauren ^[1];

^[2]; Verlinde, Herman ^[3]

Princeton Univ., NJ (United States). Dept. of Physics
Princeton Univ., NJ (United States). Princeton Center for Theoretical Science
Princeton Univ., NJ (United States). Dept. of Physics. Princeton Center for Theoretical Science

Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator $T \bar{T}$ , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = r_c in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the $T \bar{T}$ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0016244; PHY-1620059

OSTI ID:: 1512424

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 4; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 236 works

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