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I wonder if anyone can advise me literature about "long string model" of black hole. I've tried Google, and of course arXiv.org. Still I couldn't find anything about this theme. I would be also very pleased if someone could tell me any information about calculation of correlation functions of massive scalar field living on the circle.

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If you're talking about the same thing, the long string picture of a black hole which was originally referred to as a "long brane", it was introduced in the paper by Susskind and Maldacena in 1996

http://arxiv.org/abs/hep-th/9604042

See also its 200+ followups.

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