Freezing of gauge symmetries in the heterotic string on T 4

Abstract 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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Published in:The journal of high energy physics 2022-04, Vol.2022 (4), p.1-22
Main Authors: Bernardo Fraiman, Héctor Parra De Freitas
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Language:English
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Gauge Symmetry
Superstring Vacua
Superstrings and Heterotic Strings
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Héctor Parra De Freitas
description Abstract 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.
doi_str_mv 10.1007/JHEP04(2022)007
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subjects Gauge Symmetry
Superstring Vacua
Superstrings and Heterotic Strings
title Freezing of gauge symmetries in the heterotic string on T 4
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