发表机构
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut); Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität(马克斯·普朗克物理研究所; 路德维希-马克西米利安大学阿诺德·索末菲理论物理中心)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该论文提出基于5-李代数的最大超对称BFSS扩展模型,作为M5-膜最低模的量子力学描述,并证明其可从光锥M5-膜作用量一致截断得到。
AI 中文摘要
我们提出了基于5-李代数${\mathcal A}_6$的BFSS矩阵模型的一个最大超对称扩展。该理论是拉格朗日型的,将BFSS的2-括号结构常数提升为受类Chern-Simons动力学项支配的动态对象,并展现出M5-膜理论所预期的特征。我们证明,该理论也可以从空间五球面上的单个光锥M5-膜作用量在截断到时间坐标后获得。所得理论是一个一致的截断,并且类似于$U(2)$ BFSS模型,支持将$\mathcal{A}_6$理论解释为M5-膜最低激发模的量子力学模型。
英文摘要
We present a maximally supersymmetric extension of the BFSS matrix model based on the 5-Lie algebra ${\mathcal A}_6$. The theory is Lagrangian, promotes the BFSS 2-bracket structure constants to dynamical objects governed by a Chern-Simons-like kinetic term, and displays features expected from a theory of M5-branes. We show that it can also be obtained from the single lightcone M5-brane action on a spatial five-sphere after a truncation to the time coordinate. The resulting theory is a consistent truncation and, analogously to the $U(2)$ BFSS model, supports an interpretation of the $\mathcal{A}_6$ theory as a quantum-mechanical model for the lowest-lying modes of the M5-brane.
Comments6 pages, 1 figure