E9 symmetry in the heterotic string on S1 and the weak gravity conjecture

A bstract 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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Bibliographic Details
Published in:The journal of high energy physics 2022-06, Vol.2022 (6), p.83, Article 83
Main Authors: Collazuol, Veronica, Graña, Mariana, Herráez, Alvaro
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Lattice vibration
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Strings
Symmetry
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Summary:A bstract 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 , respectively. We also prove that these towers of modes satisfy the lattice weak gravity and repulsive force conjectures.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2022)083