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SUMMARY:N=2 super Yang-Mills and the Geometry of Magnetic Monopoles - Andy
  Royston\, Texas A&amp\;M
DTSTART:20161020T120000Z
DTEND:20161020T130000Z
UID:TALK66982@talks.cam.ac.uk
CONTACT:Dr. Piotr Tourkine
DESCRIPTION:In this talk we consider BPS states in 4D\, N=2 gauge theory i
 n the presence of defects.  We give a semiclassical description of these `
 framed BPS states' in terms of kernels of Dirac operators on moduli spaces
  of singular monopoles.  For both framed and ordinary BPS states we presen
 t a conjectural map between the data of the semiclassical construction and
  the data of the low-energy\, quantum-exact Seiberg-Witten description.  T
 his map incorporates both perturbative and nonperturbative field theory co
 rrections to the supersymmetric quantum mechanics of the monopole collecti
 ve coordinates.  We use it to translate recent developments in the study o
 f N=2 theories\, including wall-crossing formulae and the no-exotics theor
 em\, into geometric statements about the Dirac kernels.  The no-exotics th
 eorem implies a broad generalization of Sen's conjecture concerning the ex
 istence of L^2 harmonic forms on monopole moduli space.  This talk is base
 d on work done in collaboration with Greg Moore and Dieter Van den Bleeken
 .
LOCATION:Potter Room (first floor\, Pav. B)
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