Nongeometric heterotic strings and dual F-theory with enhanced gauge groups

Kimura, Yusuke (0000 0001 2155 959X, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan)

10 February 2019

Abstract: Eight-dimensional nongeometric heterotic strings were constructed as duals of F-theory on Λ 1,1 ⊕ E 8 ⊕ E 7 lattice polarized K3 surfaces by Malmendier and Morrison. We study the structure of the moduli space of this construction. There are special points in this space at which the ranks of the non-Abelian gauge groups on the 7-branes in F-theory are enhanced to 18. We demonstrate that the enhanced rank-18 non-Abelian gauge groups arise as a consequence of the coincident 7-branes, which deform stable degenerations on the F-theory side. This observation suggests that the non-geometric heterotic strings include nonperturbative effects of the coincident 7-branes on the F-theory side. The gauge groups that arise at these special points in the moduli space do not allow for perturbative descriptions on the heterotic side.


Published in: JHEP 1902 (2019) 036
Published by: Springer/SISSA
DOI: 10.1007/JHEP02(2019)036
arXiv: 1810.07657
License: CC-BY-4.0



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