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arXiv 1109.1973hep-thgr-qcmath-phmath.MP
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超弦理论中奇异开4-光滑性对带电粒子能谱的修正

The modification of the energy spectrum of charged particles by exotic open 4-smoothness via superstring theory

Torsten Asselmeyer-Maluga, Paweł Gusin, Jerzy Król

备注：
11 pages, Revtex4-1, will appear IJGMMP Vol. 50(1), 2013
发表信息：
IJGMMP Vol. 10(1) 1250079, 2013
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摘要：

在本文中，我们提出了一个模型，其中的修改朗道类能级的带电粒子在磁场中确定由于修改光滑的$\mathbb{R}^{4}$的闵可夫斯基时空的基础结构。然后将$\mathbb{R}^{4}$的标准光滑性变换为奇异的$\mathbb{R}_{k}^{4}$、$k=2p$、$p=1,2...$。超弦理论利用标准$\mathbb{R}^{4}$上几乎恒定的强磁场所引起的引力反作用来实现这一点。包含平坦$\mathbb{R}^{4}$的精确弦背景一致地由$SU(2)_{k}\times\mathbb{R}$的弯曲几何形状替换，作为修改的精确背景的一部分。这对应于$\mathbb{R}^{4}$上的平滑度从标准$\mathbb{R}^{4}$到某个外来$\mathbb{R}_{k}^{4}$的变化。谱的计算使用CFT边缘变形和Wess-Zumino-Witten（WZW）模型。边缘变形捕获了磁场的影响以及它的引力反作用。谱依赖于SU（2）上WZW的偶能级$k$。同时作为$H^{3}(SU(2),\mathbb{R})$元素的WZ项也决定了奇异光滑$\mathbb{R}_{k}^{4}$.作为结果，我们得到一个非零的质量间隙出现在光谱中诱导从一个外来的$\mathbb{R}_{k}^{4}$的存在。

英文摘要：

In this paper we present a model where the modified Landau-like levels of charged particles in a magnetic field are determined due to the modified smoothness of $\mathbb{R}^{4}$ as underlying structure of the Minkowski spacetime. Then the standard smoothness of $\mathbb{R}^{4}$ is shifted to the exotic $\mathbb{R}_{k}^{4}$, $k=2p$, $p=1,2...$. This is achieved by superstring theory using gravitational backreaction induced from a strong, almost constant magnetic field on standard $\mathbb{R}^{4}$. The exact string background containing flat $\mathbb{R}^{4}$ is replaced consistently by the curved geometry of $SU(2)_{k}\times\mathbb{R}$ as part of the modified exact backgrounds. This corresponds to the change of smoothness on $\mathbb{R}^{4}$ from the standard $\mathbb{R}^{4}$ to some exotic $\mathbb{R}_{k}^{4}$. The calculations of the spectra are using the CFT marginal deformations and Wess-Zumino-Witten (WZW) models. The marginal deformations capture the effects of the magnetic field as well as its gravitational backreactions. The spectra depend on even level $k$ of WZW on SU(2). At the same time the WZ term as element of $H^{3}(SU(2),\mathbb{R})$ determines also the exotic smooth $\mathbb{R}_{k}^{4}$. As the consequence we obtain a non-zero mass-gap emerges in the spectrum induced from the presence of an exotic $\mathbb{R}_{k}^{4}$.

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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