Dilaton test of connection between AdS_3 X S^3 and 5D black hole

H. W. Lee; N. J. Kim; Y. S. Myung

doi:10.1088/0264-9381/17/1/308

Dilaton test of connection between AdS_3 X S^3 and 5D black hole

High Energy Physics - Theory 2014-11-18 v4

Authors: H. W. Lee , N. J. Kim , Y. S. Myung

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Abstract

A 5D black hole(M $_5$ ) is investigated in the type IIB superstring theory compactified on S $^1 \times$ T $^4$ . This corresponds to AdS $_3 \times$ S $^3 \times$ T $^4$ in the near horizon with asymptotically flat space. Here the harmonic gauge is introduced to decouple the mixing between the dilaton and others. On the other hand we obtain the BTZ balck hole(AdS $_3\times$ S $^3\times$ T $^4$ ) as the non-dilatonic solution. We calculate the greybody factor of the dilaton as a test scalar both for a 5D black hole(M $_5 \times$ S $^1 \times$ T $^4$ ) and the BTZ black hole(AdS $_3 \times$ S $^3 \times$ T $^4$ ). The result of the BTZ black hole agrees with the greybody factor of the dilaton in the dilute gas approximation of a 5D black hole.

Keywords

5D black hole AdS_3 x S^3 BTZ black hole dilaton greybody factor type IIB superstring harmonic gauge

Cite

@article{arxiv.hep-th/9805050,
  title  = {Dilaton test of connection between AdS_3 X S^3 and 5D black hole},
  author = {H. W. Lee and N. J. Kim and Y. S. Myung},
  journal= {arXiv preprint arXiv:hep-th/9805050},
  year   = {2014}
}

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revised version to appear in classical and quantum gravity, 15 pages with RevTeX

Dilaton test of connection between AdS_3 X S^3 and 5D black hole

Abstract

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