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The ABCDEFG of Instantons and W-algebras

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arxiv 1111.5624 v4 pith:7BSFQQMY submitted 2011-11-23 hep-th

Christoph A. Keller , Noppadol Mekareeya , Jaewon Song , Yuji Tachikawa This is my paper · ORCID
classification hep-th
keywords coherentgaugegroupsstatew-algebraabcdefgarbitrarycertain
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For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra.

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Cited by 3 Pith papers

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

    hep-th 2026-07 conditional novelty 7.0 of 10

    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. Instantons from Blow-up

    hep-th 2019-08 conditional novelty 7.0 of 10

    The instanton partition function of many 4d N=2 and 5d N=1 gauge theories is fully determined by the perturbative part via generalized Nakajima-Yoshioka blowup equations.

  3. Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The WKB periods of the E_6^(1) linear problem agree with the integrals of motion of the W E6 CFT on highest-weight states up to spin 6 under the standard parameter dictionary.

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