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arXiv 2203.01341hep-th
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$S^1$上杂化弦的$E_9$对称性与弱引力猜想

$E_9$ symmetry in the Heterotic String on $S^1$ and the Weak Gravity Conjecture

Veronica Collazuol, Mariana Graña, Alvaro Herráez

摘要:

我们表明,在一个圆上的杂合弦的紧化表现在模空间的边界($R\to 0$,或等价的解紧化极限$R \to \infty$)的缠绕或动量模式,提高$E_8 \times E_8$或$SO(32)$规范对称性的仿射代数$(E_9 \oplus E_9)/\sim$(标识意味着两个副本的$E_9$共享相同的中心扩展)和$\hat{D}_{16}$,分别塔。我们还证明了这些模式塔满足格点弱引力和斥力猜想。

英文摘要:

We show that compactifications of the heterotic string on a circle exhibit at the boundary of moduli space ($R\to 0$, or equivalently the decompactification limit $R \to \infty$) a tower of winding or momentum modes that enhance the $E_8 \times E_8$ or $SO(32)$ gauge symmetry to the affine algebras $(E_9 \oplus E_9)/\sim$ (the identification means that the two copies of $E_9$ share the same central extension) and $\hat{D}_{16}$, respectively. We also prove that these towers of modes satisfy the lattice Weak Gravity and Repulsive Force Conjectures.

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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