Einstein manifolds and conformal field theories
- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)
In light of the anti{endash}de Sitter space conformal field theory correspondence, it is natural to try to define a conformal field theory in a large {ital N}, strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti{endash}de Sitter space. We consider the five-dimensional manifolds T{sup pq} which are coset spaces [SU(2){times}SU(2)]/U(1). The central charge and a part of the chiral spectrum are calculated, respectively, from the volume of T{sup pq} and the spectrum of the scalar Laplacian. Of the manifolds considered, only T{sup 11} admits any supersymmetry: it is this manifold which characterizes the supergravity solution corresponding to a large number of D3-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 T{sup 11} theory by supergravity: it is (27) /(32) of the central charge of the N=2{bold Z}{sub 2} orbifold theory from which it descends via a renormalization group flow. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 295580
- Journal Information:
- Physical Review, D, Vol. 59, Issue 2; Other Information: PBD: Jan 1999
- Country of Publication:
- United States
- Language:
- English
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