Lowenergy dynamics of supersymmetric solitons
Abstract
In bosonic field theories admitting Bogomol'nyi type bounds the lowenergy scattering of k solitons can be approximated as geodesic motion on the moduli space of k static solutions. In this paper we consider the analogous issue within the context of supersymmetric field theories. We focus our study on a class of N = 2 nonlinear sigma models in d = 2 + 1 based on an arbitrary Kähler target manifold and their associated soliton or "lump" solutions. Using a collective coordinate expansion, we show that the lowenergy dynamics of k lumps is governed by an N = 2 supersymmetric quantum mechanics action based on the moduli space of staticcharge klump solutions of the sigma model. The Hilbert space of states of the effective theory consists of antiholomorphic forms on the moduli space. The normalisable elements of the dolbeault cohomology classes H ^{(0, p) } of the moduli space corresponds to zeroenergy bound states and we argue that such states correspond to bound states in the full quantum field theory of the sigma model.
 Publication:

Nuclear Physics B
 Pub Date:
 July 1993
 DOI:
 10.1016/05503213(93)90399A
 arXiv:
 arXiv:hepth/9205008
 Bibcode:
 1993NuPhB.400..103G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 25 pages