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ABCD of instantons

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arxiv hep-th/0404225 v2 pith:D7HK4UNQ submitted 2004-04-28 hep-th math.AG

ABCD of instantons

Nikita Nekrasov , Sergey Shadchin This is my paper
classification hep-th math.AG
keywords abcdarbitraryclassicalcompactifiedcorrespondingcurvesderiveeffective
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We solve N=2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective theory, and the corresponding Seiberg-Witten curves. We manage to do this without resolving singularities of the compactified instanton moduli spaces.

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Cited by 4 Pith papers

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

  1. Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations

    hep-th 2026-07 accept novelty 7.0

    Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.

  2. Shell formulas for instantons and gauge origami

    hep-th 2025-12 unverdicted novelty 7.0

    A new shell formula unifies and delivers explicit closed-form expressions plus recursions for instanton partition functions in 5d SYM and multiple gauge origami configurations using arbitrary-dimensional Young diagrams.

  3. Quantized Coulomb branch of 4d $\mathcal{N}=2$ $Sp(N)$ gauge theory and spherical DAHA of $(C_N^{\vee}, C_N)$-type

    hep-th 2025-03 unverdicted novelty 7.0

    Quantized Coulomb branch of 4d N=2 Sp(N) theory with given matter content matches spherical DAHA of (C_N^vee, C_N) type, proven for N=1 and conjectured for higher N with 't Hooft loop evidence.

  4. Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors

    hep-th 2026-07 conditional novelty 6.0

    The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).