On Renyi entropy for free conformal fields: Holographic and q-analog recipes

R. Aros, F. Bugini, D. E. Diaz

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We describe a holographic approach to explicitly computing the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation proceeds in two steps: first, following Casini and Huerta, a conformal mapping to thermal entropy in a hyperbolic geometry; then identification of the hyperbolic geometry with the conformal boundary of a bulk hyperbolic space and use of an AdS/CFT holographic formula to compute the resultant functional determinant. We explicitly verify the connection with the type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is computed with the aid of the Sommerfeld formula in order to deal with a conical defect. We show that as a by-product, the log coefficient of the Renyi entropy for round spheres can be efficiently obtained as the q-analog of a procedure similar to the one found by Cappelli and D'Appollonio that rendered the type-A trace anomaly.

Original languageEnglish
Article number105401
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number10
DOIs
Publication statusPublished - 13 Mar 2015

Keywords

  • entanglement
  • holography
  • Renyi entropy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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