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arXiv 0912.0903hep-th
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关于规范M2-brane的非线性Action

On Non-linear Action for Gauged M2-brane

Shin Sasaki

摘要:

本文提出了U(1)\times U(1)(阿贝尔)ABJM模型的一个非线性推广,它包含了T_{M2}(高阶导数)修正.这里提出的作用量被期望描述证明C^4/Z_k目标空间的单个M2-膜。该模型包含了与11维超引力中的3型背景的耦合,这与轨道投影是一致的。我们表明,新的希格斯机制提出的Mukhi和Papageorgakis的工作,即使在存在更高的导数校正和耦合与背景场,给出了正确的结构的Dirac-Born-Infeld作用与Wess-Zumino项的D2膜。在完全非线性理论中,我们也发现了半BPS解,它被解释为与原M2-膜相交的另一个M2-膜。简要讨论了U(N)\times U(N)规范群的可能推广.

英文摘要:

We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes couplings with the 3-form background in the eleven-dimensional supergravity which is consistent with the orbifold projection. We show that the novel higgs mechanism proposed by Mukhi and Papageorgakis does work even in the presence of higher derivative corrections and couplings with the background field, giving the correct structure of the Dirac-Born-Infeld action with Wess-Zumino term for a D2-brane. We also find half BPS solutions in the full non-linear theory which is interpreted as an another M2-brane intersecting with the original M2-brane. A possible generalization to U(N) \times U(N) gauge group is briefly discussed.

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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