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SUMMARY:Trivertices and a corresponding class of hyperKahler spaces - Hana
 ny\, A (Imperial College London)
DTSTART:20110411T153000Z
DTEND:20110411T163000Z
UID:TALK30634@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Given a graph with lines and 3-valent vertices\, one can const
 ruct\, using a simple dictionary\, a Lagrangian that has N=2 supersymmetry
  in 3+1 dimensions. The vacuum moduli space of such a theory is well known
  to give moment map equations for a HyperKahler manifold. \n\nWe will disc
 uss the class of hyperkahler manifolds which arise due to such a construct
 ion and present their special properties. The Hilbert Series of these spac
 es can be computed and turns out to be a function of the number of externa
 l legs and loops in the graph but not on its detailed structure. The corre
 sponding SCFT consequence of this property indicates a crucial universalit
 y of many Lagrangians\, all of which have the same dynamics. \n\nThe talk 
 is based on http://arXiv.org/pdf/1012.2119\n
LOCATION:Seminar Room 1\, Newton Institute
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