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Instanton counting and O-vertex

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arxiv 2107.03656 v5 pith:HTUS3645 submitted 2021-07-08 hep-th math-phmath.MP

Instanton counting and O-vertex

classification hep-th math-phmath.MP
keywords gaugegroupsinstantono-vertextypecalledclosed-formcounting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present closed-form expressions of unrefined instanton partition functions for gauge groups of type $BCD$ as sums over Young diagrams. For $\mathrm{SO}(n)$ gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of the topological vertex with a new type called O-vertex for an O5-plane.

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  1. 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.