[Turkmath:7923] Galatasaray mathematical seminar 13 Ekim

[Susumu Tanabe]

Sayın turkmath listesi üyeleri,
 
The next Galatasaray Mathematics Seminar will take place on 13 October, 16:00 at FEF9.
 
Title :"N=2 BPS dyons and Hessian flow"
  
Speaker: Dieter van den Bleeken (Galatasaray University)
I will first review the theory of lagrangians with N=2 supersymmetry and 
their definition in terms of special Kahler geometry. In the second part 
of the talk I will discuss my forthcoming paper that analyses so called 
BPS solutions to the equations of motion of these theories. Below is the 
abstract of this paper.
 
We revisit BPS solutions to classical N=2 effective low energy gauge 
theories. It is shown that the vacuum equations can be solved in full 
generality by the introduction of a Hessian potential, a symplectic 
analog of the holomorphic prepotential. We argue that the natural 
generalisation of the attractor equation to non-spherically symmetric 
solutions is a gradient flow equation with respect to this Hessian 
potential. Furthermore we define a complex local central charge vector 
that is shown to satisfy Maxwell's equations. In the last part of the 
paper we study the introduction of sources. We discuss the empty pole 
condition of Denef for spherically symmetric solutions and derive a 
precise set of constraint equations that restrict the location of 
sources in the absence of spherical symmetry. 		 	   		  
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20111006/d61658cb/attachment.htm>