Work

Connectedness of the boundary in the $\mathrm{AdS}$/$\mathrm{CFT}$ correspondence

Year: 1999

Type: article

Abstract: Let M be a complete Einstein manifold of negative curvature, and assume that (as in the AdS/CFT correspondence) it has a Penrose compactification with a conformal boundary N of positive scalar curvature.We show that under these conditions, Hn(M; Z) = 0 and in particular N must be connected.These results resolve some puzzles concerning the AdS / CFT correspondence.

Source: Advances in Theoretical and Mathematical Physics

DOI: 10.4310/atmp.1999.v3.n6.a1

Authors: Edward Witten, S.-T. Yau

Institutions: California Institute of Technology, Harvard University, Institute for Advanced Study

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, U.S. Department of Energy, California Institute of Technology

Awards: MATHEMATICS AND STRING THEORY, Differential Equations in Geometry