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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Intersection bounds for BPS strings in six-dimensional supergravity

  • Hee-Cheol Kim1,2
  • Kai Xu3,4
4 affiliations
  1. 1Department of Physics, POSTECH
  2. 2Asia Pacific Center for Theoretical Physics, Postech
  3. 3Tsinghua University
  4. 4Harvard University
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Abstract

A bstract : In six-dimensional 𝒩 N = (1, 0) supergravity, the structure of tensor moduli space is governed by primitive BPS string charges known as BPS generators and their intersection pairing. We derive bounds on the intersection numbers of these generators from a purely effective field theory (EFT) perspective. Although gauge anomaly cancellation constrains intersections between generators supporting gauge algebras, bounds for E-strings intersecting generators with self-intersection numbers −2 and −3 have previously remained incomplete. We show that the Zariski decomposition, interpreted as the charge lattice counterpart of the attractor mechanism, together with current algebra embeddings on the E-string worldsheet theory, yields strong universal bounds on these intersection numbers. These results establish the finiteness of tensor charge intersection data up to E-string sector. The underlying structure was identified through AI-guided investigation and is proven here analytically using EFT arguments.

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Cite

BibTeXRIS
BibTeX
@article{kim2026intersection,
  title = {{Intersection bounds for BPS strings in six-dimensional supergravity}},
  author = {Hee-Cheol Kim and Kai Xu},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)051},
  url = {https://link.springer.com/10.1007/JHEP10(2026)051},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Intersection bounds for BPS strings in six-dimensional supergravity
AU  - Hee-Cheol Kim
AU  - Kai Xu
PY  - 2026
DA  - 2026/10/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)051
UR  - https://link.springer.com/10.1007/JHEP10(2026)051
AB  - A bstract : In six-dimensional 𝒩 N = (1, 0) supergravity, the structure of tensor moduli space is governed by primitive BPS string charges known as BPS generators and their intersection pairing. We derive bounds on the intersection numbers of these generators from a purely effective field theory (EFT) perspective. Although gauge anomaly cancellation constrains intersections between generators supporting gauge algebras, bounds for E-strings intersecting generators with self-intersection numbers −2 and −3 have previously remained incomplete. We show that the Zariski decomposition, interpreted as the charge lattice counterpart of the attractor mechanism, together with current algebra embeddings on the E-string worldsheet theory, yields strong universal bounds on these intersection numbers. These results establish the finiteness of tensor charge intersection data up to E-string sector. The underlying structure was identified through AI-guided investigation and is proven here analytically using EFT arguments.
SN  - 1029-8479
ER  -