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arXiv 1111.0880hep-thmath-phmath.MP
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奇异光滑R^4与量子物质

Exotic smooth R^4 and quantum matter

Jerzy Król

摘要:

我们遵循这样的观点:超弦理论作为时空维度数大于4的量子引力理论,可以作为四维QG和开四维流形上奇异光滑性的数学。额外维度、超对称或其他弦技术,都属于适合上述目的的数学工具包。第4维度的物理学是通过$\mathbb{R}^4$上的奇异4-几何学达到的。本文讨论了精确超弦背景技术、CFT和$SU(2)_k$ WZW模型,它们适合于描述磁场及其引力反作用对奇异Euklidean $\mathbb{R}^4$的影响,而奇异Euklidean是四维时空的基本光滑性。

英文摘要:

We follow the point of view that superstring theory, as the theory of quantum gravity in the number of spacetime dimensions bigger than 4, serves as mathematics for both, 4 dimensional QG and exotic smoothness on open 4-manifolds. Extra-dimensions, supersymmetry or some other string techniques, belong to the mathematical toolkit suitable for the above purposes. Physics in dimension 4 is reached via exotic 4-geometries on $\mathbb{R}^4$. In the paper we discuss the techniques of exact superstring backgrounds, CFT and $SU(2)_k$ WZW models, as suitable for the description of effects assigned to the magnetic field and its gravitational backreactions on exotic Euklidean $\mathbb{R}^4$ which is the underlying smoothness for the 4-dimensional spacetime.

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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