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UNIVERSITY OF CALIFORNIA, SANTA BARBARA BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
 

Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
CSANTA BARBARA SANTA CRUZ
Geometry, Topology, and Physics Seminar
SU(3) Manifolds and the Reid Fantasy
Allan Adams
MIT
Friday, February 29, 2008, 4:00 p.m.
Room 6635 South Hall
Abstract: In this talk I will discuss recent progress in string theory on the study
of the moduli space of complex manifolds with SU(3) structure. In the special
case of Kahler manifolds, these are just Calabi-Yaus; more generally, they are non-
Kahler (but balanced) manifolds whose SU(3)-holonomy connection is not metric
compatible. By studying Heterotic conformal field theories on very special examples
of these manifolds (which endow the manifold with several decorations), we will find
interesting paths on moduli space along which various 2- and 3-cycles shrink and grow:
when the 2-cycle is large, we will find a Calabi-Yau; when the 3-cycle is large, we will
find a non-Kahler manifold. Connecting these moduli spaces requires a non-local
operation in the conformal field theory bosonization and fermionization which
can be thought of as a kind of local surgery on the classical geometry.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics