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arXiv · 2609.23556

Gauge Origami of the Conifold $\times$ $\mathbb{C}$

Taro Kimura·Go Noshita
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Abstract

We construct gauge-origami systems on the toric Calabi--Yau fourfold $\mathcal{C}\times\mathbb{C}$ from its brane brick model. Brick matchings and phase boundaries determine elementary D6- and D4-brane framings, respectively, realizing the magnificent-four, tetrahedron-instanton, and spiked-instanton sectors in a unified framed quiver quantum mechanics. We define their partition functions by Jeffrey--Kirwan residues and describe the fixed points in terms of colored BPS crystals. General gauge-origami configurations are obtained by combining these elementary sectors through their common fractional D0-brane quiver. This construction provides a first step toward gauge origami on general toric Calabi--Yau fourfolds.

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Taro Kimura, Go Noshita. 2026-09-20. Gauge Origami of the Conifold $\times$ $\mathbb{C}$. https://arxiv.org/abs/2609.23556

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