Article

Journal of High Energy Physics

, 2013:89

First online:

Quantum black holes in Type-IIA String Theory

  • Pablo BuenoAffiliated withInstituto de Física Teórica UAM/CSIC
  • , Rhys DaviesAffiliated withMathematical Institute, University of Oxford
  • , C. S. ShahbaziAffiliated withInstituto de Física Teórica UAM/CSICStanford Institute for Theoretical Physics and Department of Physics, Stanford University Email author 

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Abstract

We study black hole solutions of Type-IIA Calabi-Yau compactifications in the presence of quantum perturbative corrections. We define a class of black holes that only exist in the presence of quantum corrections and that, consequently, can be considered as purely quantum black holes. The regularity conditions of the solutions impose the topological constraint h 1,1 > h 2,1 on the Calabi-Yau manifold, defining a class of admissible compactifications, which we prove to be non-empty for h 1,1 = 3 by explicitly constructing the corresponding Calabi-Yau manifolds, new in the literature.

Keywords

Black Holes in String Theory Differential and Algebraic Geometry