Large N elliptic genus and AdS/CFT Correspondence

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According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.

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14 pages

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de Boer, Jan December 29, 1998.

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Description

According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.

Physical Description

14 pages

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INIS; OSTI as DE00838050

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  • Journal Name: Journal of High Energy Physics; Journal Volume: 5; Other Information: Submitted to Journal of High Energy Physics: Volume 5; Journal Publication Date: 09/01/1999

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  • Report No.: LBNL--42655
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 838050
  • Archival Resource Key: ark:/67531/metadc786602

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Office of Scientific & Technical Information Technical Reports

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  • December 29, 1998

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 4, 2016, 3:25 p.m.

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de Boer, Jan. Large N elliptic genus and AdS/CFT Correspondence, article, December 29, 1998; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc786602/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.