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PreprintCC BY 4.0arXiv

BPS Chaos and Fortuity in Higgs Branches I: The Gepner Point

  • Micha Berkooz
  • Trivko Kukolj
  • Ohad Mamroud
  • Josef Seitz
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Abstract

The BPS states in Calabi-Yau compactifications of type II string theory can sometimes be described using quiver quantum mechanics whose Higgs branch is a complete intersection manifold. Their degeneracy resembles that of BPS black holes. A small fraction of these states corresponds to multi-center supergravity brane configurations and can be continued to the (near-Higgs) Coulomb branch. We identify them as monotone states. The overwhelming majority of states, known as pure-Higgs states, are fortuitous states, which concentrate at a particular R-charge. This division has a precise mathematical meaning as two different types of cohomologies of the Higgs branch target space. We argue that a natural probe of BPS chaos in these models is the Berry/Chern curvature. In the case of the Gepner model, we use localization techniques in an auxiliary two-dimensional CFT to compute the curvature, its RMT properties, and deviations from it.

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Cite

BibTeXRIS
BibTeX
@misc{berkooz2026chaos,
  title = {{BPS Chaos and Fortuity in Higgs Branches I: The Gepner Point}},
  author = {Micha Berkooz and Trivko Kukolj and Ohad Mamroud and Josef Seitz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36035},
  eprint = {2610.36035},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36035},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - BPS Chaos and Fortuity in Higgs Branches I: The Gepner Point
AU  - Micha Berkooz
AU  - Trivko Kukolj
AU  - Ohad Mamroud
AU  - Josef Seitz
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.36035
UR  - https://arxiv.org/abs/2610.36035
AB  - The BPS states in Calabi-Yau compactifications of type II string theory can sometimes be described using quiver quantum mechanics whose Higgs branch is a complete intersection manifold. Their degeneracy resembles that of BPS black holes. A small fraction of these states corresponds to multi-center supergravity brane configurations and can be continued to the (near-Higgs) Coulomb branch. We identify them as monotone states. The overwhelming majority of states, known as pure-Higgs states, are fortuitous states, which concentrate at a particular R-charge. This division has a precise mathematical meaning as two different types of cohomologies of the Higgs branch target space. We argue that a natural probe of BPS chaos in these models is the Berry/Chern curvature. In the case of the Gepner model, we use localization techniques in an auxiliary two-dimensional CFT to compute the curvature, its RMT properties, and deviations from it.
ER  -