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arXiv 2605.19002hep-th
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D=8 最小超引力的唯一性与两个向量乘子

Uniqueness of D=8 minimal supergravity with two vector multiplets

Centre de Physique Théorique, CNRS, Institut Polytechnique de Paris(理论物理中心,法国国家科学研究中心,巴黎理工学院);Department of Physics, Princeton University(普林斯顿大学物理系);Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEA(理论物理研究所,巴黎萨克雷大学,法国国家科学研究中心,法国原子能和替代能源委员会)

Guillaume Bossard, Bingxin Lao, Ruben Minasian

AI总结:

研究D=8最小超引力与两个向量乘子耦合的保护耦合,通过假设存在duality对称性,证明一致性条件和反物质sector约束下唯一一致的理论。

摘要:

仅存在四种已知的八维最小超对称弦理论,其低能有效描述由最小超引力耦合到l=18、10或2个向量乘子给出。有人认为这些数字由有效理论的一致性条件唯一确定。本文研究了在假设理论具有形式为Γ₀(N)×Γ₀(N)⊂SL(2,Z)×SL(2,Z)的duality对称性下,最小超引力与两个向量乘子耦合的保护耦合。我们证明一致性与反物质sector约束下,允许的耦合被强烈限制,并在BPS sector中孤立出唯一的自洽理论。特别地,我们发现三重形式流的Bianchi恒等式不能有引力贡献。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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