Working paper 734 views
NonAbelian duality in N=4 supersymmetric gauge theories
Nicholas Dorey,
Marco A.C. Kneipp,
Christophe Fraser,
Timothy Hollowood 
Swansea University Author:
Timothy Hollowood
Abstract
A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken globa...
| Published: |
1995
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| Online Access: |
http://inspirehep.net/record/403683 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa28577 |
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| Abstract: |
A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken global symmetry and the associated component of the moduli space is a hermitian symmetric space. The well-known problems in introducing collective coordinates for these degrees-of-freedom are solved by considering a particular multi-monopole configuration in which the long-range non-abelian fields cancel. In the context of an $N=4$ supersymmetric gauge theory, the multiplicity of BPS saturated states is given by the number of ground-states of a supersymmetric quantum mechanics on the compact internal moduli space. The resulting degeneracy is expressed as the Euler character of a hermitian symmetric coset space. In all cases the number of states is consistent with the dimensions of the multiplets of the unbroken dual gauge group, in agreement with the GNO |
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| College: |
Faculty of Science and Engineering |