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UNIVERSITY OF CALIFORNIA, SANTA BARBARA BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
 

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
The geometry of the Seiberg-Witten curve and BPS states
Andreas Malmendier
UCSB
Friday, October 10th, 2008, 4:00 p.m.
Room 6635 South Hall
Abstract: The moduli spaces of vacua for the topological N = 2 supersymmetric
SU(2) gauge theories on CP2
with doublet hypermultiplets are Jacobian rational
elliptic surfaces over CP1
(with an analytical marking). We review how the number
and type of the singular fibers of the moduli spaces vary with the number and masses
of the additional matter fields. The period bundle of the elliptic surface defines a
rank-two SL(2, Z) bundle equipped with a special Kaehler connection. The bundle
contains a flat submanifold which intersect each fiber in a full integer lattice; this is
the charge lattice of the BPS states. The spectrum of the stable semi-classical BPS
states defines a unique flat holomorphic line bundle on the rational elliptic surface.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics