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
Gauge Theories Labelled by Three-Manifolds
Friday, October 28, 2011, 4:00 p.m.
Room 6635 South Hall
Abstract: We will discuss various operations on three-dimensional supersymmetric
quantum field theories which are parallel to features of the decomposition of a
three-manifold into ideal hyperbolic simplices. The discussion will include extensive
background information on these three-dimensional field theories, in hopes of making
the discussion accessible to mathematicians as well as physicists.
The first two operations, called S and T, were discussed by Witten for 3D
conformal field theories with a U(1) flavor symmetry, and together give an SL(2, Z)
action on the space of such theories. The other "operation" is known as mirror
symmetry for 3D theories: like the more familiar mirror symmetry in 2D, it exchanges
certain parts of the moduli spaces when passing from one theory to its mirror dual.
This seminar is part of the NSF/UCSB `Research Training in Groups' in Topology and Geometry.