Symmetry Enhancements in 7d Heterotic Strings

Abstract

We use a moduli space exploration algorithm to produce a complete list of maximally enhanced gauge groups that are realized in the heterotic string in 7d, encompassing the usual Narain component, and five other components with rank reduction realized via nontrivial holonomy triples. Using lattice embedding techniques we find an explicit match with the mechanism of singularity freezing in M-theory on K3. The complete global data for each gauge group is explicitly given.

42 pages v3: minor corrections

References in corpus (6)

• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
• String Universality and Non-Simply-Connected Gauge Groups in 8d
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• Exploring the landscape of heterotic strings on T^d
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
• On the Gauge Group Topology of 8d CHL Vacua

Cited by in corpus (8)

• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
• Freezing of Gauge Symmetries in the Heterotic String on $T^4$
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• New Supersymmetric String Moduli Spaces from Frozen Singularities
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• Flat equivariant gerbes: holonomies and dualities
• $E_9$ symmetry in the Heterotic String on $S^1$ and the Weak Gravity Conjecture