1. E9 symmetry in the heterotic string on S1 and the weak gravity conjecture
- Author
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Collazuol, Veronica, Graña, Mariana, Herráez, Alvaro, Institut de Physique Théorique - UMR CNRS 3681 (IPHT), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,SO(32) ,algebra: affine ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,symmetry: gauge ,FOS: Physical sciences ,string model: heterotic ,Superstrings and Heterotic Strings ,High Energy Physics - Theory (hep-th) ,Gauge Symmetry ,string ,moduli space ,String Duality ,circle ,compactification: heterotic ,lattice - Abstract
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., Comment: 27 pages, 3 tables, 1 figure
- Published
- 2022
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