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Generalized Toric Threefolds from Scattering Diagrams and Broken Lines

  • Antoine Bourget
  • Ignacio Carreño Bolla
  • Quentin Lamouret
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Abstract

We present an explicit and practical description of Generalized Toric Calabi--Yau threefolds, which are associated with five-brane webs ending on seven-branes, using scattering diagrams and broken lines, based on ideas from arXiv:2410.04714 [hep-th]. Local theta-function algebras and their transition maps give explicit affine charts for opened (resolved) webs, extending familiar toric constructions to non-toric situations. We give a physical interpretation of the deformation parameters, in the case of one or several 7-branes, and deduce behavior under Hanany-Witten transitions and changes of tesselation.

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Cite

BibTeXRIS
BibTeX
@misc{bourget2026generalized,
  title = {{Generalized Toric Threefolds from Scattering Diagrams and Broken Lines}},
  author = {Antoine Bourget and Ignacio Carreño Bolla and Quentin Lamouret},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00206},
  eprint = {2611.00206},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00206},
}
RIS
TY  - UNPB
TI  - Generalized Toric Threefolds from Scattering Diagrams and Broken Lines
AU  - Antoine Bourget
AU  - Ignacio Carreño Bolla
AU  - Quentin Lamouret
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00206
UR  - https://arxiv.org/abs/2611.00206
AB  - We present an explicit and practical description of Generalized Toric Calabi--Yau threefolds, which are associated with five-brane webs ending on seven-branes, using scattering diagrams and broken lines, based on ideas from arXiv:2410.04714 [hep-th]. Local theta-function algebras and their transition maps give explicit affine charts for opened (resolved) webs, extending familiar toric constructions to non-toric situations. We give a physical interpretation of the deformation parameters, in the case of one or several 7-branes, and deduce behavior under Hanany-Witten transitions and changes of tesselation.
ER  -