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FIELD Phys:StringTheory
DATE September 20 (Thu), 2018
TIME 12:00-14:00
PLACE 1423
SPEAKER Martin Speight
HOST Rosa, Dario
INSTITUTE University of Leeds
TITLE The geometry of the space of vortex-antivortex pairs
ABSTRACT

In the linear abelian Higgs model on a Riemann surface, vortices and antivortices attract one another and annihilate. By contrast, gauged nonlinear sigma models have vortices and antivortices which can coexist in stable equilibrium, at arbitrary positions. The moduli space of static k_+ vortex k_- antivortex solutions is noncompact even in the case when physical space is compact, since vortices and antivortices are forbidden to coincide, and is equipped with a natural Kaehler structure whose geodesics model low energy (anti)vortex scattering trajectories. I will describe a detailed study (joint with Nuno Romao) of this Kaehler geometry, concentrating on the case of vortex-antivortex pairs (k_+=k_-=1) on the plane and the sphere.

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