(E_9\) symmetry in the Heterotic String on \(S^1\) and the Weak Gravity Conjecture

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 a...

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Bibliographic Details
Published in:arXiv.org 2022-03
Main Authors: Collazuol, Veronica, Graña, Mariana, Herráez, Alvaro
Format: Article
Language:English
Subjects:
Lattice vibration
Strings
Symmetry
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2203.01341