Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories

Eto, Minoru and Fujimori, Toshiaki and Gudnason, Sven Bjarke and Jiang, Yunguo and Konishi, Kenichi and Nitta, Muneto and Ohashi, Keisuke (2011) Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories. Journal of High Energy Physics, 1112 . 017. ISSN 1029-8479

Abstract

Effects of mass deformations on 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian vortices are studied in 4d N=2 supersymmetric U(1) \times SO(2n) and U(1) \times USp(2n) gauge theories, with Nf=2n quark multiplets. The 2d N=(2,2) effective worldsheet sigma models on the Hermitian symmetric spaces SO(2n)/U(n) and USp(2n)/U(n) found recently which describe the low-energy excitations of the orientational moduli of the vortices, are generalized to the respective massive sigma models. The continuous vortex moduli spaces are replaced by a finite number (2^{n-1} or 2^{n}) of vortex solutions. The 1/2 BPS kinks connecting different vortex vacua are magnetic monopoles in the 4d theory, trapped inside the vortex core, with total configurations being 1/4 BPS composite states. These configurations are systematically studied within the semi-classical regime.

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