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
N=2 dualities and Riemann surfaces
Friday, October 2nd, 2009, 4:00 p.m.
Room 6635 South Hall
Abstract: N=2 supersymmetric field theories in four dimensions have been studied
from many points of view, notably by Seiberg and Witten in the mid-1990's who
introduced an associated Riemann surface and used its properties to derive remarkable
results about the physics, and remarkable consequences for mathematics. In the past
six months, work of Gaiotto and collaborators has shown that these theories can be
studied by means of *another* Riemman surface, this time used to compactify the
six-dimensional N=(2,0) field theories to obtain a four-dimensional theory. Moreover,
the two-dimesional field theory on this "other" Riemann surface is related in many
interesting ways to the N=2 four-dimensional field theory.
This lecture will give an overview of these developments, which will be described in
more detail in future lectures of this seminar.