|Speaker:||Noppadol Mekareeya (Imperial College. London)|
|Title:||Universalities of Theories with Tri-vertices|
|Date:||Tue, Sep 06, 2011, 13:15 - 15:00|
|Place:||Seminar Room A|
Given a graph with lines and tri-valent vertices, one can construct, using a simple dictionary, a Lagrangian that has N=2 supersymmetry in 3+1 dimensions. This is a construction which generalises the notion of
a quiver. The vacuum moduli space of such a theory is well known to give moment map equations for a hyperKähler manifold. We will discuss the class of hyperKähler manifolds which arise due to such a construction and present their special properties. The Hilbert Series of these spaces can be computed and turns out to be a function of the number of external legs and loops in the graph but not on its detailed structure. The corresponding SCFT consequence of this property indicates a crucial universality of many Lagrangians, all of which have the same dynamics.