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Gauge Origami of the Conifold Γ—β„‚

  • Taro Kimura
  • Go Noshita
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Abstract

We construct gauge-origami systems on the toric Calabi--Yau fourfold π’žΓ—β„‚ 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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Cite

BibTeXRIS
BibTeX
@misc{kimura2026gauge,
  title = {{Gauge Origami of the Conifold $\times$$\mathbbC$}},
  author = {Taro Kimura and Go Noshita},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.23556},
  eprint = {2609.23556},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05781676v1},
}
RIS
TY  - UNPB
TI  - Gauge Origami of the Conifold Γ—β„‚
AU  - Taro Kimura
AU  - Go Noshita
PY  - 2026
DA  - 2026/10/06
PB  - HAL
DO  - 10.48550/arxiv.2609.23556
UR  - https://hal.science/hal-05781676v1
AB  - We construct gauge-origami systems on the toric Calabi--Yau fourfold π’žΓ—β„‚ 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.
ER  -