Killing horizons and spinors

Bruno Carneiro da Cunha and Amilcar de Queiroz
Phys. Rev. D 89, 104031 – Published 21 May 2014

Abstract

We study the near-horizon geometry of generic Killing horizons constructing suitable coordinates and taking the appropriate scaling limit. We are able to show that the geometry will always show an enhancement of symmetries, and, in the extremal case, will develop a causally disconnected “throat” as expected. We analyze the implications of this to the Kerr/CFT conjecture and the attractor mechanism. We are also able to construct a set of special (pure) spinors associated with the horizon structure using their interpretation as maximally isotropic planes. The structure generalizes the usual reduced holonomy manifold in an interesting way and may be fruitful to the search of new types of compactification backgrounds.

  • Received 17 March 2014

DOI:https://doi.org/10.1103/PhysRevD.89.104031

© 2014 American Physical Society

Authors & Affiliations

Bruno Carneiro da Cunha*

  • Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil

Amilcar de Queiroz

  • Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70919-970 Brasília, DF, Brazil

  • *bcunha@df.ufpe.br
  • amilcarq@unb.br

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Issue

Vol. 89, Iss. 10 — 15 May 2014

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