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Main Authors: Bossard, Guillaume, Lao, Bingxin, Minasian, Ruben
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.19002
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author Bossard, Guillaume
Lao, Bingxin
Minasian, Ruben
author_facet Bossard, Guillaume
Lao, Bingxin
Minasian, Ruben
contents 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 $Γ_0(N)\times Γ_0(N)\subset {\rm SL}(2,\mathbb{Z}) \times {\rm SL}(2,\mathbb{Z})$ 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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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Uniqueness of D=8 minimal supergravity with two vector multiplets
Bossard, Guillaume
Lao, Bingxin
Minasian, Ruben
High Energy Physics - Theory
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 $Γ_0(N)\times Γ_0(N)\subset {\rm SL}(2,\mathbb{Z}) \times {\rm SL}(2,\mathbb{Z})$ 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.
title Uniqueness of D=8 minimal supergravity with two vector multiplets
topic High Energy Physics - Theory
url https://arxiv.org/abs/2605.19002