Vortices on Orbifolds

Abstract

The Abelian and non-Abelian vortices on orbifolds are investigated based on the moduli matrix approach, which is a powerful method to deal with the BPS equation. The moduli space and the vortex collision are discussed through the moduli matrix as well as the regular space. It is also shown that a quiver structure is found in the Kahler quotient, and a half of ADHM is obtained for the vortex theory on the orbifolds as the case before orbifolding.

25 pages, 4 figures; references added

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Cited by in corpus (9)

• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Instanton Solutions from Abelian Sinh-Gordon and Tzitzeica Vortices
• Integrable vortex-type equations on the two-sphere
• Vortex counting from field theory
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• Beta-ensembles for toric orbifold partition function
• Virasoro Constraint for Uglov Matrix Model
• Orbifold black holes
• Fractional black $p$-branes on orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$