In double field theory, the physical space has been understood as a subspace of the doubled space. Recently, the doubled space is defined as the para-Hermitian manifold and the physical space is realized as a leaf of a foliation of the doubled space. This construction naturally introduces the fundamental 2-form, which plays an important role in a reformulation of string theory known as the Born sigma model. In this paper, we present the Born sigma model for $p$-branes in M-theory and type IIB theory by extending the fundamental 2-form into U-duality-covariant $(p+1)$-forms.

中文翻译：

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特殊几何中膜的出生 sigma 模型

在双场论中，物理空间被理解为双空间的一个子空间。最近，双空间被定义为准厄米流形，物理空间被实现为双空间的叶子。这种构造自然地引入了基本的 2-形式，它在弦理论的重新表述中起着重要作用，称为 Born sigma 模型。在本文中，我们通过将基本的 2-形式扩展到 U-对偶-协变 $(p+1)$-形式，​​提出了 M-理论和类型 IIB 理论中 $p$-branes 的 Born sigma 模型。