Mathematical Physics Seminar
Monday 01.III.2010
Time: 16:00-17:00
Room: 0089
Instytut Matematyki, ul. Łojasiewicza 6, 30-348 Kraków
João Baptista
(Universiteit van Amsterdam, The Netherlands)
Are vortices boundaries of singular monopoles?
Abstract:
Vortices and monopoles are both classical solitons. They arise as BPS states of
supersymmetric gauge theories with matter in 2 and 3 dimensions, respectively.
In the talk I will show how the moduli space of non-abelian vortices living on a
compact Riemann surface is essentially the same mathematical object as the moduli
space of singular monopoles living on the product of the surface with a closed
interval. This raises several questions about more direct relations between the 2D
vortices and the 3D monopoles.
Reference:
J.M. Baptista: "Non-abelian vortices, Hecke modifications and singular monopoles",
arXiv:0907.1752v2
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