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The holographic interpretation of J¯T-deformed CFTs
CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France;Stockholm Univ, NORDITA, Roslagstullsbacken 23, S-10691 Stockholm, Sweden;KTH Royal Inst Technol, Roslagstullsbacken 23, S-10691 Stockholm, Sweden.
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 198Article in journal (Refereed) Published
Abstract [en]

Recently, a non-local yet possibly UV-complete quantum field theory has been constructed by deforming a two-dimensional CFT by the composite operator JT, where J is a chiral U(1) current and T is a component of the stress tensor. Assuming the original CFT was a holographic CFT, we work out the holographic dual of its JT deformation. We find that the dual spacetime is still AdS(3), but with modified boundary conditions that mix the metric and the Chern-Simons gauge field dual to the U(1) current. We show that when the coefficient of the chiral anomaly for J vanishes, the energy and thermodynamics of black holes obeying these modified boundary conditions precisely reproduce the previously derived field theory spectrum and thermodynamics. Our proposed holographic dictionary can also reproduce the field-theoretical spectrum in presence of the chiral anomaly, upon a certain assumption that we justify. The asymptotic symmetry group associated to these boundary conditions consists of two copies of the Virasoro and one copy of the U(1) Ka-Moody algebra, just as before the deformation; the only effect of the latter is to modify the spacetime dependence of the right-moving Virasoro generators, whose action becomes state-dependent and effectively non-local.

Place, publisher, year, edition, pages
2019. no 1, article id 198
Keywords [en]
AdS-CFT Correspondence, Conformal Field Theory, Chern-Simons Theories
National Category
Subatomic Physics Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-377354DOI: 10.1007/JHEP01(2019)198ISI: 000456804300001OAI: oai:DiVA.org:uu-377354DiVA, id: diva2:1291054
Funder
EU, European Research Council, 679278 Emergent-BHKnut and Alice Wallenberg Foundation, 113410212Swedish Research Council, 113410213Available from: 2019-02-22 Created: 2019-02-22 Last updated: 2019-02-22Bibliographically approved

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