Large N elliptic genus and AdS/CFT correspondence | Zendy

Jan de Boer | Zendy

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Large N elliptic genus and AdS/CFT correspondence

Author(s) -

Jan de Boer

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/05/017

Subject(s) - supergravity , genus , boundary (topology) , physics , string theory , string (physics) , mathematical physics , type (biology) , field theory (psychology) , space (punctuation) , field (mathematics) , theoretical physics , supersymmetry , pure mathematics , mathematics , mathematical analysis , computer science , paleontology , botany , biology , operating system

According to one of Maldacena's dualities, type IIB string theory on AdS_3 XS^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. Inthis note we compute the elliptic genus of the boundary theory in thesupergravity approximation. A finite quantity is obtained once we introduce aparticular exclusion principle. In the regime where the supergravityapproximation is reliable, we find exact agreement with the elliptic genus of asigma model with target space K3^N/S_N.Comment: 13 pages, LaTe

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