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Probimg emergent geometry through phase transitions in free vector and matrix models
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC). University of Iceland, Iceland.
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Number of Authors: 4
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, 005Article in journal (Refereed) Published
Abstract [en]

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at finite temperature and large N phase transitions even at vanishing 't Hooft coupling. At low temperature, the leading behavior of boundary two-point functions is consistent with propagation through a bulk thermal anti de Sitter space. Above the phase transition, the two-point function shows significant departure from thermal AdS space and the emergence of localized black hole like objects in the bulk. In adjoint models, these objects appear at length scales of order of the AdS radius, consistent with a Hawking-Page transition, but in vector models they are parametrically larger than the AdS scale. In low dimensions, we find another crossover at large distances beyond which the correlation function again takes a thermal AdS form, albeit with a temperature dependent normalization factor.

Place, publisher, year, edition, pages
2017. no 2, 005
Keyword [en]
AdS-CFT Correspondence, Black Holes in String Theory, Higher Spin Gravity, Confinement
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-142524DOI: 10.1007/JHEP02(2017)005ISI: 000397646300005OAI: oai:DiVA.org:su-142524DiVA: diva2:1094252
Available from: 2017-05-09 Created: 2017-05-09 Last updated: 2017-05-09Bibliographically approved

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Amado, IreneSundborg, BoThorlacius, LárusWintergerst, Nico
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