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Supersymmetric monopole dynamics

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deVriesEJ_0309_macs.pdf (559.7Kb)
Date
2009-03
Author
de Vries, Erik Jan
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Abstract
We study the supersymmetric quantum mechanics of monopoles in bosonic, N = 2 and N = 4 supersymmetric Yang-Mills-Higgs theory, with particular emphasis on monopoles of charge{(1; 1) in a theory with gauge group SU(3) spontaneously broken to U(1) £ U(1). In the moduli space approximation, the quantum states of bosonic monopoles can be described by functions on the moduli space. For N = 2 supersymmetric monopoles, quantum states can be interpreted as either spinors or anti-holomorphic forms on the moduli space. The quantum states of the N = 4 supersymmetric monopole correspond to general di®erential forms on the moduli space. In each case, we review the moduli space approximation and derive general expressions for the supercharges as di®erential operators. In the geometrical language of forms on the moduli space, the Hamiltonian is proportional to the Laplacian acting on forms. We propose a general expression for the total angular momentum operator and verify its commutation relations with the supercharges. We use the known metric structure of the moduli space of charge{(1; 1) monopoles to show that there are no quantum bound states of such monopoles in the moduli space approximation. We exhibit scattering states and compute the corresponding di®er- ential cross sections. Using the general expressions for the supercharges we construct the short supermultiplet of supersymmetric monopoles, and study its decomposition under the proposed angular momentum operator.
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http://hdl.handle.net/10399/2230
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©Heriot-Watt University, Edinburgh, Scotland, UK EH14 4AS.

Maintained by the Library
Tel: +44 (0)131 451 3577
Library Email: libhelp@hw.ac.uk
ROS Email: open.access@hw.ac.uk

Scottish registered charity number: SC000278

  • About
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  • Accessibility
  • Policies
  • Privacy & Cookies
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AboutCopyright
AccessibilityPolicies
Privacy & Cookies
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