Symmetry Enhancements in 7d Heterotic Strings

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 em...

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Published in:arXiv.org 2022-08
Main Authors: Fraiman, Bernardo, Parra De Freitas, Héctor
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Language:English
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Algorithms
Freezing
M theory
Space exploration
Strings
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description 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.
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subjects Algorithms
Freezing
M theory
Space exploration
Strings
title Symmetry Enhancements in 7d Heterotic Strings
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