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It has been assumed that it is possible to approximate the interactions of quantized BPS solitons by quantising a dynamical system induced on a moduli space of soliton parameters. General properties of the reduction of quantum systems by a Born - Oppenheimer approximation are described here and applied to sigma models and their moduli spaces in order to learn more about this approximation. New terms arise from the reduction procedure, some of them geometrical and some of them dynamical in nature. The results are generalised to supersymmetric sigma models, where most of the extra terms vanish. © 2000 Elsevier Science B.V. All rights reserved.
Author(s): Moss IG, Shiiki N
Publication type: Article
Publication status: Published
Journal: Nuclear Physics B
Year: 2000
Volume: 565
Issue: 1-2
Pages: 345-362
ISSN (print): 0550-3213
ISSN (electronic): 1873-1562
Publisher: Elsevier B.V.
URL: .http:dx.doi.org/10.1016/S0550-3213(99)00650-1
DOI: 10.1016/S0550-3213(99)00650-1
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