Monopoles Can be Confined by 0, 1 or 2 Vortices

Details Monopoles Can be Confined by 0, 1 or 2 Vortices Monopoles Can be Confined by 0, 1 or 2 Vortices

2004-11-06

arxiv.org/abs/hep-th/0411074v3

JHEP 0502:046,2005

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 13 figures, V2: Comment on non-BPS correction added; 1 figure added

Scientific paper

10.1088/1126-6708/2005/02/046

There are three types of monopole in gauge theories with fundamental matter and N=2 supersymmetry broken by a superpotential. There are unconfined 0-monopoles and also 1 and 2-monopoles confined respectively by one or two vortices transforming under distinct components of the unbroken gauge group. If a Fayet-Iliopoulos term is added then there are only 2-monopoles. Monopoles transform in the bifundamental representation of two components of the unbroken gauge symmetry, and if two monopoles share a component they may form a boundstate. Selection rules for this process are found, for example vortex number is preserved modulo 2. We find the tensions of the vortices, which are in general distinct, and also the conditions under which vortices are mutually BPS. Results are derived in field theory and also in MQCD, and in quiver theories a T-dual picture may be used in which monopoles are classified by quiver diagrams with two colors of vertices.

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