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Peer-reviewedCC BY 4.0Journal of High Energy Physics

M-theory geometries from five-brane webs, seven-branes, and T-branes

  1. 1Université Libre de Bruxelles

Abstract

A bstract : We track the chain of dualities relating five-brane webs in Type IIB to M-theory on noncompact Calabi-Yau threefolds, and follow the effect of adding ( p , q ) seven-branes. T-dualizing along the seven-brane, a junction of D5-branes ending on a D7-brane becomes a single smooth D6-brane wrapping a smooth holomorphic curve, which uplifts directly to an M-theory geometry. Treating the branes as coherent sheaves (tachyon condensation), we obtain a spectral-curve dictionary that maps non-Abelian (T-brane) partition data to explicit complex-structure deformations of the threefold. As applications we (i) give a physical derivation of these deformations, (ii) exhibit a simple geometric prototype of an s-rule violation, and (iii) link T-brane data to geometry.

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BibTeX
@article{collinucci2026mtheory,
  title = {{M-theory geometries from five-brane webs, seven-branes, and T-branes}},
  author = {Andrés Collinucci},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)156},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)156},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - M-theory geometries from five-brane webs, seven-branes, and T-branes
AU  - Andrés Collinucci
PY  - 2026
DA  - 2026/10/14
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)156
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)156
AB  - A bstract : We track the chain of dualities relating five-brane webs in Type IIB to M-theory on noncompact Calabi-Yau threefolds, and follow the effect of adding ( p , q ) seven-branes. T-dualizing along the seven-brane, a junction of D5-branes ending on a D7-brane becomes a single smooth D6-brane wrapping a smooth holomorphic curve, which uplifts directly to an M-theory geometry. Treating the branes as coherent sheaves (tachyon condensation), we obtain a spectral-curve dictionary that maps non-Abelian (T-brane) partition data to explicit complex-structure deformations of the threefold. As applications we (i) give a physical derivation of these deformations, (ii) exhibit a simple geometric prototype of an s-rule violation, and (iii) link T-brane data to geometry.
SN  - 1029-8479
ER  -