Quantization of conformal fields in three-dimensional Anti-de Sitter black hole space-time

Hongsu Kim, Changrim Ahn, Jae Sok Oh

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1 Scopus citations


Utilizing the conformal-flatness nature of three-dimensional Anti-de Sitter (AdS3) black hole solution of Banados, Teitelboim and Zanelli, the quantization of conformally-coupled scalar and spinor fields in this background space-time is explicitly carried out. In particular, mode expansion forms and propagators of the fields are obtained in closed forms. The vacuum in this conformally-coupled field theories in AdS3 black hole space-time, which is conformally-flat, is the conformal vacuum which is unique and has global meaning. This point particularly suggests that now the particle production by AdS3 black hole space-time should be absent. General argument establishing the absence of real particle creation by AdS3 black hole space-time for this case of conformal triviality is provided. Then next, using the explicit mode expansion forms for conformally-coupled scalar and spinor fields, the bosonic and fermionic superradiances are examined and found to be absent confirming the expectation.

Original languageEnglish
Pages (from-to)2431-2473
Number of pages43
JournalInternational Journal of Modern Physics A
Issue number15
StatePublished - 20 Jun 1999

Bibliographical note

Funding Information:
H. K. was supported in part by Korea Research Foundation and Basic Science Research Institute at Ewha Women’s Univ. (BSRI-97-2427) and at Sogang Univ (BSRI-96-2414).


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