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arXiv 1105.6294hep-thmath-phmath.DGmath.MP
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弦微分几何,超越黎曼

Stringy differential geometry, beyond Riemann

Imtak Jeon, Kanghoon Lee, Jeong-Hyuck Park

摘要:

虽然黎曼几何的基本对象是度规,但封闭的弦论要求我们把两种形式的规范场和标量场放在与度规同等的地位上。本文提出了一种新的微分几何,它统一地处理这三个物体,不仅表现出双态性和一种形式的规范对称性,而且还表现出O(D,D)T-对偶性,并使我们能够将它们的已知低能有效作用量改写为一项.进一步,我们发展了一个相应的vielbein形式主义和规范的内部对称性,这是由两个本地洛伦兹群的直接产品,SO(1,D-1)次SO(1,D-1)。我们评论说,宇宙学常数的概念自然会改变。

英文摘要:

While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric. Here we propose a novel differential geometry which treats the three objects in a unified manner, manifests not only diffeomorphism and one-form gauge symmetry but also O(D,D) T-duality, and enables us to rewrite the known low energy effective action of them as a single term. Further, we develop a corresponding vielbein formalism and gauge the internal symmetry which is given by a direct product of two local Lorentz groups, SO(1,D-1) times SO(1,D-1). We comment that the notion of cosmological constant naturally changes.

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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