A Nonabelian Particle-Vortex Duality

Abstract

We define a nonabelian particle-vortex duality as a $3-$dimensional analogue of the usual $2-$dimensional worldsheet nonabelian T-duality. The transformation is defined in the presence of a global $SU(2)$ symmetry and, although derived from a string theoretic setting, we formulate it generally. We then apply it to so-called "semilocal strings" in an $SU(2{)}_G\times U(1{)}_L$ gauge theory, originally discovered in the context of cosmic string physics.

5 pages, no figures; explicit example corrected, typos corrected

References in corpus (3)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• On non-abelian T-dual geometries with Ramond fluxes
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow

Cited by in corpus (3)

• Particle-vortex duality in topological insulators and superconductors
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• A nonabelian particle-vortex duality in gauge theories