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

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arxiv 2209.14949 v2 pith:OV6LGGFH submitted 2022-09-29 hep-th

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

classification hep-th
keywords theoryfunctiongaugeinstantonpartitionrecurrencerelationadjoint
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    hep-th 2026-07 conditional novelty 6.0

    5D N=1* supersymmetric localization on toric surfaces equals refined Vafa–Witten invariants for odd first Chern class; the even-c1 case fails without a hand-added constant.

  2. Contour Integral for the Partition Function of $\mathcal{N}=2$ Topologically Twisted on $\mathbb{CP}^2$ and Physical Fluxes

    hep-th 2025-10 conditional novelty 6.0

    Derives a single-flux contour-integral formula for the N=2 twisted SU(2) partition function on CP^2 and new equivariant invariants reducing to Donaldson invariants.