SO and USp Kahler and Hyper-Kahler Quotients and Lumps

Details SO and USp Kahler and Hyper-Kahler Quotients and Lumps SO and USp Kahler and Hyper-Kahler Quotients and Lumps

2008-09-11

arxiv.org/abs/0809.2014v2

Nucl.Phys.B815:495-538,2009

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 0 figures; v2: comments and references added

Scientific paper

10.1016/j.nuclphysb.2009.01.019

We study non-linear sigma models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kahler and hyper-Kahler quotient constructions. We obtain the explicit Kahler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U(1) x SO and U(1) x USp Kahler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.

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