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Instantons on Young diagrams with matters

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arxiv 2301.02342 v2 pith:P3ZEN5XZ submitted 2023-01-06 hep-th

Instantons on Young diagrams with matters

classification hep-th
keywords diagramsfunctionsinstantonpartitionrepresentationyoungbeyondexplicit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the unrefined instanton partition functions of various 5d gauge theories with matter beyond the fundamental representation as sums over Young diagrams. By using these explicit expressions, we verify a range of identities among the instanton partition functions predicted by Higgsing procedures of fivebrane web diagrams and representation theory.

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Cited by 2 Pith papers

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

  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.

  2. 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).