Einstein manifolds and conformal field theories

Steven S. Gubser

Research output: Contribution to journalArticlepeer-review

211 Scopus citations


In light of the anti–de Sitter space conformal field theory correspondence, it is natural to try to define a conformal field theory in a large N, strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti–de Sitter space. We consider the five-dimensional manifolds (Formula presented) which are coset spaces (Formula presented) The central charge and a part of the chiral spectrum are calculated, respectively, from the volume of (Formula presented) and the spectrum of the scalar Laplacian. Of the manifolds considered, only (Formula presented) admits any supersymmetry: it is this manifold which characterizes the supergravity solution corresponding to a large number of (Formula presented)-branes at a conifold singularity, discussed recently by Klebanov and Witten. Through a field theory analysis of anomalous three point functions we are able to reproduce the central charge predicted for the (Formula presented) theory by supergravity: it is (Formula presented) of the central charge of the (Formula presented) orbifold theory from which it descends via a renormalization group flow.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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