标题： 一个洛伦兹协变的玻色M2膜矩阵模型：Nambu括号和受限体积保测变形 显示英文标题

标题： A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations

摘要： 我们提出了一种洛伦兹协变的矩阵模型，作为M理论中玻色M2膜的非微扰表述。 与依赖于光锥规范或基于对称性的构造的先前方法不同，我们的模型通过引入一种新颖的规范固定条件，将体积保持变形（VPD）的对称性限制到一个子类，我们称之为受限VPD（RVPD），从而保留了完整的11维洛伦兹不变性。 这种限制使得Nambu括号的一致矩阵正则化成为可能，绕过了与莱布尼茨法则和基本恒等式相关的长期障碍。 该模型表现出RVPD对称性，允许粒子状和非交换膜解，并为M2膜的洛伦兹不变、非微扰矩阵描述奠定了基础。 我们的工作为构建膜的洛伦兹不变矩阵模型提供了一个新范式，重新审视了M理论背后的代数结构。 显示英文摘要

摘要： We propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symmetry-based constructions, our model retains full 11-dimensional Lorentz invariance by introducing a novel gauge-fixing condition that restricts the symmetry of volume-preserving deformations (VPD) to a subclass, which we call restricted VPD (RVPD). This restriction enables a consistent matrix regularization of the Nambu bracket, bypassing the long-standing obstructions related to the Leibniz rule and the Fundamental Identity. The 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.