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Black hole Berry phase.

Jan de Boer1, Kyriakos Papadodimas, Erik Verlinde

  • 1Institute for Theoretical Physics, University of Amsterdam, 1018 XE Amsterdam, The Netherlands. J.deBoer@uva.nl

Physical Review Letters
|November 13, 2009
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Summary
This summary is machine-generated.

Supersymmetric black holes exhibit numerous ground states, leading to quantum microstates mixing via Berry

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Area of Science:

  • Theoretical physics
  • Quantum mechanics
  • String theory

Background:

  • Supersymmetric black holes possess extensive degenerate ground states.
  • Quantum systems with degeneracy exhibit phenomena like Berry's phase.
  • Adiabatic variations in supergravity moduli affect quantum microstates.

Purpose of the Study:

  • To investigate the phenomenon of geometric or Berry's phase in supersymmetric black holes.
  • To analyze the mixing of quantum microstates under adiabatic changes.
  • To compute this mixing for specific black hole solutions.

Main Methods:

  • Application of quantum mechanics principles to black hole physics.
  • Analysis of adiabatic variations in supergravity moduli.
  • Exact computation of microstate mixing for a specific case.

Main Results:

  • Supersymmetric black holes demonstrate Berry's phase due to their degenerate ground states.
  • Quantum microstates of these black holes mix under adiabatic parameter variations.
  • The mixing phenomenon is exactly computable for small supersymmetric black holes in 5 dimensions.

Conclusions:

  • Berry's phase is a relevant concept for understanding the quantum behavior of supersymmetric black holes.
  • The study provides a computable example, advancing the understanding of quantum gravity.
  • This work offers insights into the interplay between quantum mechanics and general relativity in extreme gravitational regimes.