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PreprintarXiv licencearXiv

Uniqueness of D=8 minimal supergravity with two vector multiplets

  • Guillaume Bossard
  • Bingxin Lao
  • Ruben Minasian
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Abstract

There exist only four known string theories with minimal supersymmetry in eight dimensions, whose low energy effective descriptions are given by minimal supergravity coupled to l=18, $10$, or $2$ vector multiplets. It has been argued that these numbers are uniquely fixed by consistency conditions of the effective theory. In this work, we investigate the protected couplings of minimal supergravity coupled to two vector multiplets under the assumption that the theory admits a duality symmetry of the form Γ0(N)× Γ0(N)⊂ SL(2,ℤ) × SL(2,ℤ) for some positive integer N. We show that consistency with anomaly cancellation, higher-dimensional uplifts, and gauge enhancement loci strongly constrains the allowed couplings and isolates a unique consistent theory in the BPS sector. In particular, we find that the Bianchi identity for the three-form flux cannot have gravitational contributions.

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Cite

BibTeXRIS
BibTeX
@misc{bossard2026uniqueness,
  title = {{Uniqueness of D=8 minimal supergravity with two vector multiplets}},
  author = {Guillaume Bossard and Bingxin Lao and Ruben Minasian},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.19002},
  eprint = {2605.19002},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.19002},
}
RIS
TY  - UNPB
TI  - Uniqueness of D=8 minimal supergravity with two vector multiplets
AU  - Guillaume Bossard
AU  - Bingxin Lao
AU  - Ruben Minasian
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2605.19002
UR  - https://arxiv.org/abs/2605.19002
AB  - There exist only four known string theories with minimal supersymmetry in eight dimensions, whose low energy effective descriptions are given by minimal supergravity coupled to l=18, $10$, or $2$ vector multiplets. It has been argued that these numbers are uniquely fixed by consistency conditions of the effective theory. In this work, we investigate the protected couplings of minimal supergravity coupled to two vector multiplets under the assumption that the theory admits a duality symmetry of the form Γ_0(N)× Γ_0(N)⊂ SL(2,ℤ) × SL(2,ℤ) for some positive integer N. We show that consistency with anomaly cancellation, higher-dimensional uplifts, and gauge enhancement loci strongly constrains the allowed couplings and isolates a unique consistent theory in the BPS sector. In particular, we find that the Bianchi identity for the three-form flux cannot have gravitational contributions.
ER  -