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Peer-reviewedCC BY 4.0Journal of High Energy Physics

6d supergravity blocks

  • Yuta Hamada1,2,3
  • Seongmin Jeon4
  • Hee-Cheol Kim4,5
5 affiliations
  1. 1Theory Center, IPNS, High Energy Accelerator Research Organization (KEK)
  2. 2SOKENDAI
  3. 3RIKEN
  4. 4POSTECH
  5. 5Postech
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Abstract

A bstract : We propose a systematic framework for constructing six-dimensional supergravity theories with eight supercharges that respect all known consistency constraints, including anomaly cancellation and the non-perturbative H -string constraints recently discovered by Kim, Vafa, and Xu. The basic objects in this framework are supergravity blocks , which are minimal collections of tensor multiplets consisting of a single little string theory sharing the H -string charge together with additional tensors whose string charges intersect it positively. A characteristic feature of each supergravity block is that its Gram matrix has exactly one positive eigenvalue, and therefore it necessarily contains gravitational BPS strings that cannot become tensionless anywhere in tensor moduli space. Any consistent 6d (1 , 0) supergravity theory can then be obtained by gluing compatible blocks and subsequently enhancing the gauge algebras and matter content. As a first step toward establishing this framework concretely, we provide a complete classification of the non-Higgsable supergravity blocks , (or non-Higgsable gravity blocks for short) namely those built from tensor multiplets that support only non-Higgsable gauge algebras.

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Cite

BibTeXRIS
BibTeX
@article{hamada2026supergravity,
  title = {{6d supergravity blocks}},
  author = {Yuta Hamada and Seongmin Jeon and Hee-Cheol Kim},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)111},
  url = {https://link.springer.com/10.1007/JHEP10(2026)111},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - 6d supergravity blocks
AU  - Yuta Hamada
AU  - Seongmin Jeon
AU  - Hee-Cheol Kim
PY  - 2026
DA  - 2026/10/09
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)111
UR  - https://link.springer.com/10.1007/JHEP10(2026)111
AB  - A bstract : We propose a systematic framework for constructing six-dimensional supergravity theories with eight supercharges that respect all known consistency constraints, including anomaly cancellation and the non-perturbative H -string constraints recently discovered by Kim, Vafa, and Xu. The basic objects in this framework are supergravity blocks , which are minimal collections of tensor multiplets consisting of a single little string theory sharing the H -string charge together with additional tensors whose string charges intersect it positively. A characteristic feature of each supergravity block is that its Gram matrix has exactly one positive eigenvalue, and therefore it necessarily contains gravitational BPS strings that cannot become tensionless anywhere in tensor moduli space. Any consistent 6d (1 , 0) supergravity theory can then be obtained by gluing compatible blocks and subsequently enhancing the gauge algebras and matter content. As a first step toward establishing this framework concretely, we provide a complete classification of the non-Higgsable supergravity blocks , (or non-Higgsable gravity blocks for short) namely those built from tensor multiplets that support only non-Higgsable gauge algebras.
SN  - 1029-8479
ER  -