Orbifolds, Defects and Sphere Partition Function

Abstract

Gauge theories in the presence of codimension two vortex defects are known to be related to the theories on orbifolds. By using this relation we study the localized path integrals of 2D N=(2,2) SUSY gauge theories with point-like vortex defects. We present a formula for the correlation functions of vortex defects inserted at the north and the south poles of squashed spheres. For Abelian gauge theories the correlators are locally constant as functions of the parameters of the defect, but exhibit discontinuity at some threshold values determined by the deficit angle at the poles and the R-charges of the matter multiplets. For non-Abelian gauge groups the correlators depend non-trivially on the types of gauge symmetry breaking due to the defects.

1+24 pages, v4: a major revision reflecting the result of the followup work arXiv:1705:10623

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Cited by in corpus (9)

• Supersymmetric localization in two dimensions
• Supersymmetric Rényi Entropy in Two Dimensions
• Supersymmetric vortex defects in two dimensions
• Super Yang-Mills on Branched Covers and Weighted Projective Spaces
• Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Mirror Symmetry and Partition Functions
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Mirror symmetry and the flavor vortex operator in two dimensions
• Lattice defect networks in 2d Yang-Mills