Orbifold Vortex and Super Liouville Theory

Details Orbifold Vortex and Super Liouville Theory Orbifold Vortex and Super Liouville Theory

2011-11-30

arxiv.org/abs/1111.7095v3

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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