Work

Intersection bounds for BPS strings in six-dimensional supergravity

Year: 2026

Type: article

Abstract: A bstract In six-dimensional $$ \mathcal{N} $$ 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2026)051

Authors: Hee-Cheol Kim, Kai Xu

Institutions: Pohang University of Science and Technology, Asia Pacific Center for Theoretical Physics, Harvard University, Tsinghua University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Awards: G1742815014, G3577943513