21-26 July 2014
Renold Building
Europe/London timezone
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Monopole-vortex complex at large distances: new steps for elucidating the mysteries of nonAbelian duality

Presented by Prof. Kenichi KONISHI on 21 Jul 2014 from 15:10 to 15:30
Type: Formal SUSY and Strings
Track: Formal SUSY and Strings


We discuss the large-distance approximation of the monopole-vortex complex soliton in a hierarchically broken gauge system, SU(N+1) \to SU(N) \to 1, in a color-flavor locked SU(N) symmetric vacuum. The ('t Hooft-Polyakov) monopole of the higher-mass-scale breaking appears as a point and acts as a source of the thin vortex generated by the lower-energy gauge symmetry breaking. The exact color-flavor diagonal symmetry of the bulk system is broken by each individual soliton, leading to nonAbelian orientational CP^{N-1} zeromodes propagating in the vortex worldsheet, well studied in the literature. As the vortex ends at the monopoles these fluctuating modes endow the monopoles with a local SU(N) charge. This phenomenon is studied by performing the duality transformation in the presence of the CP^{N-1} moduli space. The result is an effective action is a CP^{N-1} model defined on a finite-width worldstrip, in which the pointlike monopoles at the boundaries appear as the source and sink of the massless CP^{N-1} fluctuations. Our construction seems to explain the appearance of nonAbelian monopoles in various degenerate singularities of N=2 supersymmetric gauge theories.


Location: Renold
Room: E1

Primary authors