Convergence of Nekrasov instanton sum with adjoint matter
Abstract
The Nekrasov instanton partition function of the 4d \mathcal{N}=2^* π© = 2 * U(N) U ( N ) gauge theory (a mass deformation of 4d \mathcal{N}=4 π© = 4 super-Yang-Mills theory), which is a generating series of equivariant integrals over instanton moduli spaces, is given by a sum over colored partitions weighted by a counting parameter q q . This note proves convergence of the series in the unit disk |q|0 C > 0 such that |b^2-p/q|>\exp(-Cq) | b 2 β p / q | > exp β‘ ( β C q ) for all integers p,qβ 0
Fields of Study & Subjects
Black Holes and Theoretical Physics
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Publication details
- Journal / source
- SciPost Physics Core
- Publisher
- Stichting SciPost
- Volume
- 9
- Issue
- 2
- Publication date
- 25 June 2026
- Language
- EN