Vortex counting from field theory

Abstract

The vortex partition function in 2d N = (2,2) U(N) gauge theory is derived from the field theoretical point of view by using the moduli matrix approach. The character for the tangent space at each moduli space fixed point is written in terms of the moduli matrix, and then the vortex partition function is obtained by applying the localization formula. We find that dealing with the fermionic zero modes is crucial to obtain the vortex partition function with the anti-fundamental and adjoint matters in addition to the fundamental chiral multiplets. The orbifold vortex partition function is also investigated from the field theoretical point of view.

21 pages, no figures

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• Integrable vortex-type equations on the two-sphere
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• Intersecting Defects and Supergroup Gauge Theory
• Connecting Mirror Symmetry in 3d and 2d via Localization
• All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons
• Vortex counting and the quantum Hall effect
• Virasoro Constraint for Uglov Matrix Model
• Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap