Six-dimensional supergravity on S3 x AdS3 and 2d conformal field theory

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In this paper we study the relation between six-dimensional supergravity compactified on S{sup 3} x AdS{sub 3} and certain two-dimensional conformal field theories. We compute the Kaluza-Klein spectrum of supergravity using representation theory; these methods are quite general and can also be applied to other compactifications involving anti-de Sitter spaces. A detailed comparison between the spectrum of the two-dimensional conformal field theory and supergravity is made, and we find complete agreement. This applies even at the level of certain non-chiral primaries, and we propose a resolution to the puzzle of the missing states recently raised by Vafa. As a further ... continued below

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33 pages

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de Boer, Jan June 20, 1998.

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In this paper we study the relation between six-dimensional supergravity compactified on S{sup 3} x AdS{sub 3} and certain two-dimensional conformal field theories. We compute the Kaluza-Klein spectrum of supergravity using representation theory; these methods are quite general and can also be applied to other compactifications involving anti-de Sitter spaces. A detailed comparison between the spectrum of the two-dimensional conformal field theory and supergravity is made, and we find complete agreement. This applies even at the level of certain non-chiral primaries, and we propose a resolution to the puzzle of the missing states recently raised by Vafa. As a further illustration of the method the Kaluza-Klein spectra of F-theory on M{sup 6} x S{sup 3} x AdS{sub 3} and of M-theory on M{sup 6} x S{sup 2} x AdS{sub 3} are computed, with M{sup 6} some Calabi-Yau manifold.

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33 pages

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INIS; OSTI as DE00834916

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  • Journal Name: Nuclear Physics B; Journal Volume: 548; Journal Issue: 1-3; Other Information: Submitted to Nuclear Physics B, Volume 548, No.1-3; Journal Publication Date: 05/24/1999

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  • Report No.: LBNL-41931
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 834916
  • Grant Number: PHY-95-14797
  • Archival Resource Key: ark:/67531/metadc778809

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  • June 20, 1998

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  • Dec. 3, 2015, 9:30 a.m.

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  • June 22, 2016, 6:38 p.m.

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de Boer, Jan. Six-dimensional supergravity on S3 x AdS3 and 2d conformal field theory, article, June 20, 1998; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc778809/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.