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 → 0, or equivalently the decompactification limit R → ∞) a tower of winding or momentum modes that enhance the E$_{8}$×E$_{8}$ or SO(32) gauge symmetry to the affine algebras (E$_{9}$ ⊕ E$_{...

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Published in:The journal of high energy physics 2022, Vol.6
Main Authors: Collazuol, Veronica, Graña, Mariana, Herráez, Alvaro
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Herráez, Alvaro
description We show that compactifications of the heterotic string on a circle exhibit at the boundary of moduli space (R → 0, or equivalently the decompactification limit R → ∞) a tower of winding or momentum modes that enhance the E$_{8}$×E$_{8}$ or SO(32) gauge symmetry to the affine algebras (E$_{9}$ ⊕ E$_{9}$)/ ∼ (the identification means that the two copies of E$_{9}$ share the same central extension) and $ {\hat{D}}_{16} $, respectively. We also prove that these towers of modes satisfy the lattice weak gravity and repulsive force conjectures.
doi_str_mv 10.1007/JHEP06(2022)083
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Physics
title E$_{9}$ symmetry in the heterotic string on S$^{1}$ and the weak gravity conjecture
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