Remarks on n = 4 superconformal extension of the Calogero model

Abstract

Recently it was conjectured by Gibbons and Townsend that the large n limit of an N = 4 superconformal extension of the n-particle Calogero model might provide a microscopic description of the extreme Reissner-Nordström black hole near the horizon. In this paper a possibility to construct an SU(1, 1/2) invariant extension of the Calogero model is considered. We treat in detail the two-particle case and comment on some peculiarities intrinsic to n > 2 generalizations.

Original language	English
Pages (from-to)	1493-1498
Number of pages	6
Journal	Modern Physics Letters A
Volume	18
Issue number	21
DOIs	https://doi.org/10.1142/S0217732303011241
Publication status	Published - 10 Jul 2003

Keywords

Black holes
Calogero model
N = 4 superconformal invariance

ASJC Scopus subject areas

Physics and Astronomy(all)
Statistical and Nonlinear Physics
Mathematical Physics
Nuclear and High Energy Physics

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10.1142/S0217732303011241

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abstract = "Recently it was conjectured by Gibbons and Townsend that the large n limit of an N = 4 superconformal extension of the n-particle Calogero model might provide a microscopic description of the extreme Reissner-Nordstr{\"o}m black hole near the horizon. In this paper a possibility to construct an SU(1, 1/2) invariant extension of the Calogero model is considered. We treat in detail the two-particle case and comment on some peculiarities intrinsic to n > 2 generalizations.",

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AB - Recently it was conjectured by Gibbons and Townsend that the large n limit of an N = 4 superconformal extension of the n-particle Calogero model might provide a microscopic description of the extreme Reissner-Nordström black hole near the horizon. In this paper a possibility to construct an SU(1, 1/2) invariant extension of the Calogero model is considered. We treat in detail the two-particle case and comment on some peculiarities intrinsic to n > 2 generalizations.

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KW - N = 4 superconformal invariance

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