E 9 symmetry in the heterotic string on S 1 and the weak gravity conjecture

Abstract 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)/...

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Bibliographic Details
Published in:The journal of high energy physics 2022-06, Vol.2022 (6), p.1-28
Main Authors: Veronica Collazuol, Mariana Graña, Alvaro Herráez
Format: Article
Language:English
Subjects:
Gauge Symmetry
String Duality
Superstrings and Heterotic Strings
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Summary:Abstract 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 D ̂ 16 $$ {\hat{D}}_{16} $$ , respectively. We also prove that these towers of modes satisfy the lattice weak gravity and repulsive force conjectures.
ISSN:1029-8479
DOI:10.1007/JHEP06(2022)083