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- Title
Eight-dimensional non-geometric heterotic strings and enhanced gauge groups.
- Authors
Kimura, Yusuke
- Abstract
Some constructions in string theory are linked to noncommutative geometry. Non-geometric strings are among such constructions. Non-geometric strings are related to a noncommutative torus. In this article, we discuss some aspects of non-geometric heterotic strings. We review the construction of eight-dimensional (8D) non-geometric heterotic strings, proposed by Malmendier and Morrison, which do not allow for a geometric interpretation. In the construction, the e 8 ⊕ e 7 gauge algebra is unbroken. The moduli space of 8D non-geometric heterotic strings and theories arising in the moduli space can be analyzed by studying the geometries of elliptically fibered K3 surfaces with a global section by applying F-theory/heterotic duality. In addition, we review the results of the points in the 8D non-geometric heterotic moduli with the unbroken e 8 ⊕ e 7 gauge algebra, at which the non-Abelian gauge groups are maximally enhanced. At these points, the gauge groups formed in the theories do not allow for a perturbative interpretation of the heterotic perspective. However, from the dual F-theory perspective, the K3 geometries at these points are deformations of the stable degenerations that arise from the coincident 7-branes. On the heterotic side, these enhancements can be understood as a non-perturbative effect of 5-brane insertions.
- Subjects
NONABELIAN groups; STRING theory; MODULI theory; ABELIAN functions; GROUP theory; ALGEBRA
- Publication
European Physical Journal: Special Topics, 2023, Vol 232, Issue 23/24, p3697
- ISSN
1951-6355
- Publication type
Article
- DOI
10.1140/epjs/s11734-023-00889-3