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Localized AdS_{5}×S^{5} Black Holes.

Óscar J C Dias1, Jorge E Santos2, Benson Way2

  • 1STAG research centre and Mathematical Sciences, University of Southampton, SO17 1BJ, Southampton, United Kingdom.

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|October 22, 2016
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Global anti-de Sitter (AdS) black holes are shown to undergo a phase transition. This transition leads to localized black holes, offering quantitative predictions for N=4 supersymmetric Yang-Mills (SYM) theory.

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Area of Science:

  • Theoretical physics
  • String theory
  • Quantum field theory

Background:

  • Global anti-de Sitter (AdS) black holes are theorized to exhibit phase transitions in the microcanonical ensemble.
  • At high energies, black holes are expected to respect S^5 symmetries, while at low energies, localized, pointlike black holes are anticipated.
  • The anti-de Sitter/conformal field theory (AdS/CFT) correspondence suggests spontaneous R-symmetry breaking in N=4 supersymmetric Yang-Mills (SYM) theory at strong coupling.

Purpose of the Study:

  • To numerically construct localized black holes in AdS_5 x S^5.
  • To determine the phase transition location for these black holes.
  • To compute the expectation value of a specific broken scalar operator.

Main Methods:

  • Numerical construction of localized black holes.
  • Extrapolation techniques to determine phase transition points.
  • Calculation of scalar operator expectation values.

Main Results:

  • Successful numerical construction of localized black holes.
  • Extrapolation of the phase transition location.
  • Computation of the expectation value for the lowest conformal dimension scalar operator.

Conclusions:

  • The study provides numerical evidence for the expected phase transition in AdS black holes.
  • The findings offer quantitative predictions for N=4 SYM theory via the AdS/CFT correspondence.
  • This research bridges theoretical black hole physics with strongly coupled quantum field theories.