AI 中文总结
该研究通过新增 5 - 括号对 BFSS 矩阵模型进行扩展，借助最大超对称性将 2 - 括号结构常数变为动力学场，构建新自对偶关系，证明作用量在超对称性下不变且代数封闭，所得模型展现 M5 膜理论特征并为纳入更高括号开辟可能。
AI 中文摘要
我们通过额外的 5 - 括号对 BFSS 矩阵模型进行了新的形式扩展。最大超对称性使我们将 BFSS 2 - 括号结构常数提升为受类陈 - 西蒙斯动力学项支配的动力学场，以及关于 5 - 括号的新型潜在自对偶关系。我们表明完整作用量在最大超对称性下不变且相关超对称代数封闭。此结果依赖于$SO(9)$伽马矩阵以及 2 - 和 5 - 括号的性质协同作用。令人感兴趣的是，所得模型似乎实现了包含 M5 膜的理论所期望的一些特征，并为进一步纳入 M6 - 和 M9 - 膜的更高括号开辟了可能性。
英文摘要
We provide a new formal extension of the BFSS matrix model by an additional 5-bracket. Maximal supersymmetry leads us to promote the BFSS 2-bracket structure constants to a dynamical field $H_{abc}$ governed by a Chern-Simons-like kinetic term. We first show that the full generic pseudo-action is invariant under maximal supersymmetry and that the associated supersymmetry algebra closes upon invoking a number of BPS-like quadratic constraints. We then present a special case based on the 5-Lie algebra $A_6$ that evades these additional constraints and allows for a Lagrangian description. These results hinge on a conspiracy of properties of the $SO(9)$ gamma matrices and the 2- and 5-brackets. Compellingly, the resulting model seems to realize some features expected of a theory containing M5-branes and opens up the possibility of further including higher brackets for the M6- and M9-branes.
Comments28 pages, v3: typos corrected, minor changes throughout text, new subsection 3.6 and appendix C added
