Abstract
We define a nonabelian version of particle-vortex duality, by dimensionally extending usual (1+1)-dimensional nonabelian T-duality to (2+1) dimensions. While we will explicitly describe a global SU(2) symmetry, our methods can also be applied to a larger group G, by gauging an appropriate subgroup. We will exemplify our duality with matter in both adjoint and fundamental representations by considering a modification of \( \mathcal{N} \) = 2 supersymmetric Yang-Mills theory (Seiberg-Witten theory reduced to (2+1) dimensions), and an SU(2) × U(1) color-flavor locked theory that exhibits nonabelian vortex solutions.
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ArXiv ePrint: 1512.08926
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Murugan, J., Nastase, H. A nonabelian particle-vortex duality in gauge theories. J. High Energ. Phys. 2016, 141 (2016). https://doi.org/10.1007/JHEP08(2016)141
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DOI: https://doi.org/10.1007/JHEP08(2016)141