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SUMMARY:Fermions coupled to Hopf Solitons - Krusch\, S (University of Kent
 )
DTSTART:20121207T145000Z
DTEND:20121207T151000Z
UID:TALK41926@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Solitons in the Skyrme and the Faddeev-Skyrme model share many
  similarities. While no topologically non-trivial exact solutions are know
 n in flat space there is a minimal energy charge one soliton on the 3-sphe
 re of sufficiently small radius in both models. The charge one Skyrmion is
  given by the identity map\, whereas the charge one Hopf soliton is given 
 by the Hopf map. Also\, the solitons in both models can be semi-classicall
 y quantized as fermions\, by defining the wave function of the covering sp
 ace of configuration space and imposing Finkelstein-Rubinstein constraints
 . When fermions are chirally coupled to Skyrmions the resulting Dirac equa
 tion can be solved explicitly on the 3-sphere in the background of a charg
 e one Skyrmion. In this talk\, I describe how to couple fermions to Hopf s
 olitons. \n
LOCATION:Seminar Room 1\, Newton Institute
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