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arXiv 1609.06158math.DGhep-thmath.SG
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广义 Einstein-Scalar-Maxwell 理论的全局表述

The global formulation of generalized Einstein-Scalar-Maxwell theories

C. Lazaroiu, C. S. Shahbazi

AI总结:

本文给出由平坦辛向量丛扭曲的广义 Einstein-Scalar-Maxwell 理论的全局几何表述,刻画其标量-电磁对称群与 Dirac 量子化结构,并阐明其在弦论/M 理论四维紧化及 U-fold 解中的意义。

摘要:

我们总结了由平坦辛向量丛扭曲的 Einstein-Scalar-Maxwell 理论的全局几何表述,该向量丛编码了理论的对偶结构。我们描述了此类模型的标量-电磁对称群,它由平坦辛向量丛的平坦无基点辛自同构组成,这些自同构提升了标量流形上保持标量势的那些等距。此类模型的 Dirac 量子化条件涉及整辛空间的局部系统,从而产生一个配备辛平坦联络的极化 Abel 簇丛,该丛定义在理论的标量流形上。广义 Einstein-Scalar-Maxwell 模型作为弦论/M 理论紧化到四维的有效理论的玻色子部分出现,其特征在于具有“U-fold”类型的非平凡解。

英文摘要:

We summarize the global geometric formulation of Einstein-Scalar-Maxwell theories twisted by flat symplectic vector bundle which encodes the duality structure of the theory. We describe the scalar-electromagnetic symmetry group of such models, which consists of flat unbased symplectic automorphisms of the flat symplectic vector bundle lifting those isometries of the scalar manifold which preserve the scalar potential. The Dirac quantization condition for such models involves a local system of integral symplectic spaces, giving rise to a bundle of polarized Abelian varieties equipped with a symplectic flat connection, which is defined over the scalar manifold of the theory. Generalized Einstein-Scalar-Maxwell models arise as the bosonic sector of the effective theory of string/M-theory compactifications to four-dimensions, and they are characterized by having non-trivial solutions of "U-fold" type.

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