Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$
Abstract Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator TT¯ $$ T\overline{T} $$,the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformati...
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Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)010 |
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doaj-723d63dc92ed4024a51e69a43c6868412020-11-24T23:56:07ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018413410.1007/JHEP04(2018)010Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$Lauren McGough0Márk Mezei1Herman Verlinde2Department of Physics, Princeton UniversityPrinceton Center for Theoretical Science, Princeton UniversityDepartment of Physics, Princeton UniversityAbstract Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator TT¯ $$ T\overline{T} $$,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 TT¯ $$ T\overline{T} $$ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.http://link.springer.com/article/10.1007/JHEP04(2018)010AdS-CFT CorrespondenceConformal Field TheoryRenormalization Group |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lauren McGough Márk Mezei Herman Verlinde |
spellingShingle |
Lauren McGough Márk Mezei Herman Verlinde Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Renormalization Group |
author_facet |
Lauren McGough Márk Mezei Herman Verlinde |
author_sort |
Lauren McGough |
title |
Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ |
title_short |
Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ |
title_full |
Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ |
title_fullStr |
Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ |
title_full_unstemmed |
Moving the CFT into the bulk with TT¯ $$ T\overline{T} $$ |
title_sort |
moving the cft into the bulk with tt¯ $$ t\overline{t} $$ |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-04-01 |
description |
Abstract Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator TT¯ $$ T\overline{T} $$,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 TT¯ $$ T\overline{T} $$ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS. |
topic |
AdS-CFT Correspondence Conformal Field Theory Renormalization Group |
url |
http://link.springer.com/article/10.1007/JHEP04(2018)010 |
work_keys_str_mv |
AT laurenmcgough movingthecftintothebulkwithtttoverlinet AT markmezei movingthecftintothebulkwithtttoverlinet AT hermanverlinde movingthecftintothebulkwithtttoverlinet |
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