Reconstructing BPS String Charge Cone in 6d N=(1,0) Supergravity
Abstract
The tensor branch of six-dimensional 𝒩=(1,0) supergravity is characterized by a spectrum of BPS strings charged under the two-form gauge fields. Their charges span a cone in the tensor charge lattice, whose extremal rays are generated by primitive BPS string charges that become tensionless at the boundaries of the tensor moduli space. We develop a systematic procedure, based entirely on effective field theory data, to reconstruct the primitive BPS string generators and thereby determine the complete closed BPS string cone of any 6d (1,0) supergravity theory. The key ingredients are the universal {\it H}-string, which allows us to isolate a fixed sector determined by classified LST blocks and gauge anomaly data from the remaining gauge-neutral E-string sector, and a BPS refinement of the Completeness Conjecture that ensures population of the relevant charge rays. We further show that this reconstruction provides new constraints on the low-energy theory and can rule out candidate EFTs that pass all previously known local lattice and anomaly consistency conditions. Separately, for theories admitting geometric tensor bases, we explain how the same reconstruction determines the complete Mori cone of the corresponding Kähler surface.
Related
- T-duality of string charge density/bit threads correspondence in type II supergravity
- String charge density/bit threads correspondence and its S-duality in type IIB supergravity
- Reconstructing string dualities through symmetries of moduli spaces
- Complex phase diagram and thermodynamic supercriticality of five-dimensional four-charge AdS black holes in STU−W2U gauged supergravity
- Towards cal N=8 Supergravity in cal N=1 Superspace
BibTeX
@misc{hamada2026reconstructing,
title = {{Reconstructing BPS String Charge Cone in 6d N=(1,0) Supergravity}},
author = {Yuta Hamada and Hee-Cheol Kim and Kai Xu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10711},
eprint = {2610.10711},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10711},
}
RIS
TY - UNPB
TI - Reconstructing BPS String Charge Cone in 6d N=(1,0) Supergravity
AU - Yuta Hamada
AU - Hee-Cheol Kim
AU - Kai Xu
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.10711
UR - https://arxiv.org/abs/2610.10711
AB - The tensor branch of six-dimensional 𝒩=(1,0) supergravity is characterized by a spectrum of BPS strings charged under the two-form gauge fields. Their charges span a cone in the tensor charge lattice, whose extremal rays are generated by primitive BPS string charges that become tensionless at the boundaries of the tensor moduli space. We develop a systematic procedure, based entirely on effective field theory data, to reconstruct the primitive BPS string generators and thereby determine the complete closed BPS string cone of any 6d (1,0) supergravity theory. The key ingredients are the universal {\it H}-string, which allows us to isolate a fixed sector determined by classified LST blocks and gauge anomaly data from the remaining gauge-neutral E-string sector, and a BPS refinement of the Completeness Conjecture that ensures population of the relevant charge rays. We further show that this reconstruction provides new constraints on the low-energy theory and can rule out candidate EFTs that pass all previously known local lattice and anomaly consistency conditions. Separately, for theories admitting geometric tensor bases, we explain how the same reconstruction determines the complete Mori cone of the corresponding Kähler surface.
ER -