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arXiv 1608.01436hep-th
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杂化超引力中的非几何五膜

Non-geometric Five-branes in Heterotic Supergravity

Shin Sasaki, Masaya Yata

摘要:

研究了杂化超引力中存在一阶$α'$ -修正的五膜T-对偶链。通过对杂化NS 5-膜解进行$α'$ -修正的T-对偶变换,我们得到了与对称、中性和规范NS 5-膜相关的KK 5-膜和奇异$5^2_2$ -膜解.我们发现这些解中的Yang-Mills规范场在膜世界体积的三维和二维横截空间中满足自对偶条件。利用$α'$修正的广义度量研究了$5^2_2$ -膜解的$O(2,2)$单值结构.我们的分析表明,满足标准嵌入条件的对称$5^2_2$ -膜解是一个T-折叠,它表现出非几何性质。我们还发现中性的$5^2_2$膜解至少在$\mathcal{O} (α')$处是T重的。另一方面,规范$5^2_2$ -膜解不是T-折叠,但显示出不寻常的时空结构。

英文摘要:

We study T-duality chains of five-branes in heterotic supergravity where the first order $α'$-corrections are present. By performing the $α'$-corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic $5^2_2$-brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three- and two-dimensional transverse spaces to the brane world-volumes. The $O(2,2)$ monodromy structures of the $5^2_2$-brane solutions are investigated by the $α'$-corrected generalized metric. Our analysis shows that the symmetric $5^2_2$-brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral $5^2_2$-brane solution is a T-fold at least at $\mathcal{O} (α')$. On the other hand, the gauge $5^2_2$-brane solution is not a T-fold but show unusual structures of space-time.

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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