Recurrence relation for instanton partition function in SU(N) gauge theory

Abstract

We study the equivariant instanton partition function in $\mathcal{N}=2$ supersymmetric theory on ${\mathbb{C}}^2$ with $SU(N)$ gauge group and find the generalisation of the Zamolodchikov recurrence relation. We consider the pure theory as well as theories with matter hypermultiplets in the adjoint and fundamental representations.

References in corpus (7)

• Instanton counting on blowup. I. 4-dimensional pure gauge theory
• Multi-Instanton Calculus and Equivariant Cohomology
• Recursion relations in CFT and N=2 SYM theory
• Sheaves on Toric Varieties for Physics
• Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
• Recurrence relations for the ${\mathcal{W}}_3$ conformal blocks and $\mathcal{N}=2$ SYM partition functions
• Gauge theories on compact toric manifolds