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Quantum mechanics on moduli spaces

Lookup NU author(s): Professor Ian MossORCiD


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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.

Publication metadata

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.


DOI: 10.1016/S0550-3213(99)00650-1


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