Freezing of gauge symmetries in the heterotic string on T4

A bstract We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and M-theory, respectively. The novel...

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Bibliographic Details
Published in:The journal of high energy physics 2022-04, Vol.2022 (4), p.7, Article 7
Main Authors: Fraiman, Bernardo, De Freitas, Héctor Parra
Format: Article
Language:English
Subjects:
Algorithms
Classical and Quantum Gravitation
Elementary Particles
Freezing
High energy physics
M theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Space exploration
String Theory
Strings
Symmetry
Topological manifolds
Topology
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Summary:A bstract We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and M-theory, respectively. The novel feature in six dimensions is that the map explicitly involves the topology of the gauge groups, in particular acting only on non-simply-connected ones. This relation is equivalent to that of connected components of the moduli space of flat G -bundles over T 2 with G non-simply-connected. These results are verified with a reasonably exhaustive list of gauge groups obtained with a moduli space exploration algorithm.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2022)007