The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2002-01-22

AUTHORS

Aaron Bergman, Christopher P. Herzog

ABSTRACT

We calculate the volumes of a large class of Einstein manifolds, namely Sasaki-Einstein manifolds which are the bases of Ricci-flat affine cones described by polynomial embedding relations in n. These volumes are important because they allow us to extend and test the AdS/CFT correspondence. We use these volumes to extend the central charge calculation of Gubser (1998) to the generalized conifolds of Gubser, Shatashvili, and Nekrasov (1999). These volumes also allow one to quantize precisely the D-brane flux of the AdS supergravity solution. We end by demonstrating a relationship between the volumes of these Einstein spaces and the number of holomorphic polynomials (which correspond to chiral primary operators in the field theory dual) on the corresponding affine cone. More... »

PAGES

030

References to SciGraph publications

  • 2001-05-04. Orientifold, geometric transition and large N duality for SO/Sp gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1993-12. Ricci-flat metrics on the complexification of a compact rank one symmetric space in MANUSCRIPTA MATHEMATICA
  • 1999-05-06. Generalized conifolds and four dimensional 𝒩 = 1 superconformal theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-02-24. A family of 𝒩 = 1 SU(N)k theories from branes at singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-07-30. The holographic Weyl anomaly in JOURNAL OF HIGH ENERGY PHYSICS
  • 1990-11. 7-Dimensional compact Riemannian manifolds with Killing spinors in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    01

    VOLUME

    2002

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2002/01/030

    DOI

    http://dx.doi.org/10.1088/1126-6708/2002/01/030

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1047379563


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