Orbifold Vortex and Super Liouville Theory

Abstract

We study the nonabelian vortex counting problem on $\mathbb{C}/{\mathbb{Z}}_p$. At first we calculate vortex partition functions on the orbifold space using localization techniques, then we find how to extract orbifold vortex partitions function from orbifold linear quiver instanton partition functions. Finally, we study the AGT like relation between orbifold SU(2) vortices and $\mathcal{N}=1$ super Liouville theory in the mixed R/NS sector by fixing the dictionary among parameters in the common hypergeometric functions system.

21 pages, 2 figures, one reference added, typos corrected and comments added

References in corpus (12)

• Para-Liouville/Toda central charges from M5-branes
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• Instanton moduli spaces and bases in coset conformal field theory
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• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• Instantons and 2d Superconformal field theory
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• Coset conformal blocks and N=2 gauge theories
• Dynamics of Non-Abelian Vortices
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Cited by in corpus (2)

• A slow review of the AGT correspondence
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence