Probing emergent geometry through phase transitions in free vector and matrix models

Irene Amado, Bo Sundborg, Larus Thorlacius, Nico Wintergerst

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.
Original languageEnglish
Number of pages5
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - Feb 2017

Other keywords

  • AdS-CFT correspondence
  • Black holes
  • String theory
  • Higher spin gravity
  • Svarthol (stjörnufræði)
  • Strengjafræði
  • Þyngdarafl


Dive into the research topics of 'Probing emergent geometry through phase transitions in free vector and matrix models'. Together they form a unique fingerprint.

Cite this