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arXiv 1206.6964hep-thmath-phmath.MP
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广义几何中的D-膜与Dirac-Born-Infeld Action

D-branes in Generalized Geometry and Dirac-Born-Infeld Action

Tsuguhiko Asakawa, Shuhei Sasa, Satoshi Watamura

摘要:

本文的目的是在广义几何的框架下建立Dirac Born Infeld(DBI)作用量并阐明其对称性。D-膜定义为静态规范中标量场和规范场被同等对待的狄拉克结构。我们推导出相应的广义李导数的非线性同态和B场规范变换,并表明DBI行动下的非线性实现的对称性下的所有类型的非线性同态和B场规范变换是不变的。因此,我们不仅可以把D-膜上的标量场,而且可以把D-膜上的规范场解释为广义南武-戈德斯通玻色子。

英文摘要:

The purpose of this paper is to formulate the Dirac-Born-Infeld (DBI) action in a framework of generalized geometry and clarify its symmetry. A D-brane is defined as a Dirac structure where scalar fields and gauge field are treated on an equal footing in a static gauge. We derive generalized Lie derivatives corresponding to the diffeomorphism and B-field gauge transformations and show that the DBI action is invariant under non-linearly realized symmetries for all types of diffeomorphisms and B-field gauge transformations. Consequently, we can interpret not only the scalar field but also the gauge field on the D-brane as the generalized Nambu-Goldstone boson.

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