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Charged Rényi entropies and holographic superconductors

  • Alexandre Belin
  • Ling-Yan Hung
  • Alexander Maloney
  • Shunji Matsuura
Open Access
Regular Article - Theoretical Physics
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Abstract

Charged Rényi entropies were recently introduced as a measure of entanglement between different charge sectors of a theory. We investigate the phase structure of charged Rényi entropies for CFTs with a light, charged scalar operator. The charged Rényi entropies are calculated holographically via areas of charged hyperbolic black holes. These black holes can become unstable to the formation of scalar hair at sufficiently low temperature; this is the holographic superconducting instability in hyperbolic space. This implies that the Rényi entropies can be non-analytic in the Rényi parameter n. We find the onset of this instability as a function of the charge and dimension of the scalar operator. We also comment on the relation between the phase structure of these entropies and the phase structure of a holographic superconductor in flat space.

Keywords

Spontaneous Symmetry Breaking AdS-CFT Correspondence Black Holes Holography and condensed matter physics (AdS/CMT) 
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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Alexandre Belin
    • 1
    • 2
  • Ling-Yan Hung
    • 2
    • 3
  • Alexander Maloney
    • 1
    • 2
  • Shunji Matsuura
    • 1
  1. 1.Departments of Physics and MathematicsMcGill UniversityMontréalCanada
  2. 2.Department of PhysicsHarvard UniversityCambridgeU.S.A.
  3. 3.Department of PhysicsFudan UniversityShanghaiChina

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