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Teichmüller parameters for a multiple BTZ black hole spacetime

Yasunari Kurita

Masaru Siino

  • Kanagawa Institute of Technology, Atsugi, Kanagawa 243-0292, Japan

  • Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

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Phys. Rev. D 89, 024018 – Published 14 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.024018

Abstract

We investigate the Teichmüller parameters for a Euclidean multiple Bañados-Teitelboim-Zanelli (BTZ) black hole spacetime. To induce a complex structure in the asymptotic boundary of such a spacetime, we consider the limit in which two black holes are at a large distance from each other. In this limit, we can approximately determine the period matrix Ωij (i.e., the Teichmüller parameters) for the spacetime boundary by using a pinching parameter. The Teichmüller parameters are essential in describing the partition function for the boundary conformal field theory (CFT). We provide an interpretation of the partition function for the genus two extremal boundary CFT proposed by Gaiotto and Yin that it is relevant to double BTZ black hole spacetime.

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References (24)

  1. G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2752 (1977).
  2. S. W. Hawking and W. Israel, General Relativity: An Einstein Centenary Survey (Cambridge University Press, Cambridge, England, 1979).
  3. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996).
  4. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  5. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
  6. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  7. O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
  8. M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
  9. M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D 48, 1506 (1993).
  10. E. Witten, arXiv:0706.3359.
  11. D. R. Brill, Phys. Rev. D 53, R4133 (1996).
  12. D. Gaiotto and X. Yin, J. High Energy Phys. 08 (2007) 029.
  13. C. A. Bayona and N. R. F. Braga, Gen. Relativ. Gravit. 39, 1367 (2007).
  14. S. Carlip and C. Teitelboim, Phys. Rev. D 51, 622 (1995).
  15. A. Maloney and E. Witten, J. High Energy Phys. 02 (2010) 029.
  16. J. M. Maldacena and A. Strominger, J. High Energy Phys. 12 (1998) 005.
  17. T. Brotz, M. Ortiz, and A. Ritz, Phys. Rev. D 60, 064012 (1999).
  18. Y. Kurita and M.-a. Sakagami, Prog. Theor. Phys. 113, 1193 (2005).
  19. M. Banados, T. Brotz, and M. E. Ortiz, Nucl. Phys. B545, 340 (1999).
  20. H. M. Farkas and I. Kra, Riemann Surfaces (Springer, New York, 1992), 2nd ed.
  21. M. P. Tuite, arXiv:math/9910136.
  22. A. Yamada, Kodai. Math. J. 3, 114 (1980).
  23. G. Mason and M. P. Tuite, arXiv:math/0603088v2.
  24. Y. Kurita and M. Siino (in preparation).

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Phys. Rev. D 89, 024018– Published 14 January, 2014
  • Received 25 October 2013

© 2014 American Physical Society

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