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arXiv 0812.5045hep-th
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场论、弦和膜中的非对易性问题

Aspects of noncommutativity in field theory, strings and membranes

Kuldeep Kumar

摘要:

我们研究场论、弦和膜中的非对易性的某些方面。我们分析了一个开膜的动力学,其边界是连接到p-膜。边界弦坐标的非交换特征由代数一致性参数揭示。其次,我们导出了非交换U(N)非对易规范理论中与电流及其发散相关的Seiberg-Witten型映射,并给出了相应的普通(对易)描述表达式。然后我们利用这些映射得到了非对易电动力学中换位子反常的O(θ)结构。最后,我们讨论了在非对易规范理论中违反洛伦兹不变性的问题,通过显式地导出,遵循Noether样的方法,保持庞加莱不变性的标准。我们还研究了一般(变形)共形庞加莱(伽利略)对称性与相对论(非相对论)规范非交换空间。

英文摘要:

We study certain aspects of noncommutativity in field theory, strings and membranes. We analyse the dynamics of an open membrane whose boundary is attached to p-branes. Noncommutative features of the boundary string coordinates are revealed by algebraic consistency arguments. Next, we derive Seiberg-Witten-type maps relating currents and their divergences in nonabelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. We then exploit these maps to obtain the O(θ) structure of the commutator anomalies in noncommutative electrodynamics. Finally, we discuss the issue of violation of Lorentz invariance in noncommutative gauge theories by explicitly deriving, following a Noether-like approach, the criteria for preserving Poincare invariance. We also study general (deformed) conformal-Poincare (Galilean) symmetries consistent with relativistic (nonrelativistic) canonical noncommutative spaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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