关于玻色M2膜的洛伦兹协变矩阵模型：Nambu括号与受限体积保持变形
高能物理 - 理论
2025-08-29 v2 数学物理
math.MP
摘要
我们提出了一个洛伦兹协变的矩阵模型，作为M理论中玻色M2膜的非扰动表述。与之前依赖光锥规范或基于对称性构造的方案不同，我们的模型保留了完整的11维洛伦兹不变性，通过引入一种新型规范化条件来限制体积保持变形（VPD）的对称性，我们将其称为受限VPD（RVPD）。这种限制使得Nambu括号的矩阵正则化得以一致实现，绕过了与Leibniz法则和基本恒等式相关的长期障碍。 resulting model exhibits RVPD symmetry, admits particle-like and noncommutative membrane solutions, and lays the foundation for a Lorentz-invariant, nonperturbative matrix description of M2-branes. Our work offers a new paradigm for constructing Lorentz-invariant matrix models of membranes, revisiting the algebraic structure underlying M-theory.
引用
@article{arxiv.2504.05940,
title = {A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations},
author = {So Katagiri},
journal= {arXiv preprint arXiv:2504.05940},
year = {2025}
}
备注
31 pages, Minor revision: added a clarifying footnote on $C_I$, included the reference to the supersymmetric extension (now accepted in JHEP), and made minor textual corrections