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arXiv 0909.4057hep-th
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场论和弦论中的对称性

Aspects of Symmetries in Field and String Theories

Anirban Saha

摘要:

本论文的重点是分析规范对称性及其对规范理论的各种影响。在这篇论文的第一部分,我们已经研究了对称性的不同方面与各种场论和弦论模型。规范对称性的表现形式及其与自同构不变性的相互联系,已经在弦、膜、$p-$膜和度规引力等不同的一般协变模型中讨论过。分析相互作用的弦,适当地包含弦的边界条件,导致弦坐标的非交换性质。在论文的第二部分,重点主要放在规范对称性对定义在非对易时空上的场论的影响上。NC规范场与普通规范场之间的Seiberg-Witten映射所表明的NC规范对称性与普通规范对称性之间的对应关系被用来构造描述原NC规范理论的等价交换理论。利用这种交换等价方法,我们分析了目前感兴趣的几种NC规范场。同时给出了时空非对易参数的上界。

英文摘要:

The focus of the present thesis is on the analysis of gauge symmetry and its various impacts on gauge theories. In the first part of this thesis, we have studied different aspects of symmetries in connection with various field and string theoretic models. The manifestations of gauge symmetries and their interconnection with the diffeomorphism invariances have been discussed in the context of different generally covariant models like string, membrane, $p-$brane and metric gravity. Analysis of interacting string with proper inclusion of the stringy boundary conditions led to the noncommutative nature of the string coordinates. In the second part of the thesis the emphasis was primarily on the impact of gauge symmetries on the field theories defined over noncommutative space-time. The correspondence between the NC gauge symmetry and ordinary gauge symmetry manifest by Seiberg--Witten maps between the NC gauge fields and ordinary gauge fields have been used to construct equivalent commutative theories describing the original NC gauge theories. Using this commutative equivalent approach we have analysed several NC gauge field theories of current interest. A upper-bound on the time-space noncommutative parameter has also been worked out.

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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