M-theory and Deformation Quantization
M-theory and Deformation Quantization
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M 理论和变形量化
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
D. Minic
中科院分区：
文献类型：
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作者：
D. Minic
讨论了与经典和量子Nambu括号结构密切相关的协变、光锥和保角规范固定p膜作用量（p>1）的形变量子化。已知Nambu括号的形变量子化不是通常的Moyal类型。然而，Nambu括号可以使用Zebriki变形量化（由Dito，Flato，Sternheimer和Takhtajan发现）进行量化，该变形量化基于多个真实的变量的多项式的因式分解。本文通过考虑矩阵理论的协变公式问题，讨论了M-理论中Zebraki形变量子化的一个特殊应用。我们提出，矩阵理论的协变公式问题可以使用三重Nambu括号的Zariski变形量子化的形式来解决。
We discuss deformation quantization of the covariant, light-cone and conformal gauge-fixed p-brane actions (p>1) which are closely related to the structure of the classical and quantum Nambu brackets. It is known that deformation quantization of the Nambu bracket is not of the usual Moyal type. Yet the Nambu bracket can be quantized using the Zariski deformation quantization (discovered by Dito, Flato, Sternheimer and Takhtajan) which is based on factorization of polynomials in several real variables. We discuss a particular application of the Zariski deformed quantization in M-theory by considering the problem of a covariant formulation of Matrix theory. We propose that the problem of a covariant formulation of Matrix theory can be solved using the formalism of Zariski deformed quantization of the triple Nambu bracket.