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Affine algebras at infinite distance limits in the Heterotic String

A bstract We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on T d , making particular emphasis on d = 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactificati...

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Published in:The journal of high energy physics 2023-07, Vol.2023 (7), p.36-49, Article 36
Main Authors: Collazuol, Veronica, Graña, Mariana, Herráez, Alvaro, De Freitas, Héctor Parra
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description A bstract We analyze the boundaries of the moduli spaces of compactifications of the heterotic string on T d , making particular emphasis on d = 2 and its F-theory dual. We compute the OPE algebras as we approach all the infinite distance limits that correspond to (possibly partial) decompactification limits in some dual frame. When decompactifying k directions, we find infinite towers of states becoming light that enhance the algebra arising at a given point in the moduli space of the T d−k compactification to its k -loop version, where the central extensions are given by the k KK vectors. For T 2 compactifications, we reproduce all the affine algebras that arise in the F-theory dual, and show all the towers explicitly, including some that are not manifest in the F-theory counterparts. Furthermore, we construct the affine SO(32) algebra arising in the full decompactification limit, both in the heterotic and in the F-theory sides, showing that not only affine algebras of exceptional type arise in the latter.
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subjects Algebra
Classical and Quantum Gravitation
Elementary Particles
F-Theory
Gauge Symmetry
High energy physics
High Energy Physics - Theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Duality
String Theory
Strings
Superstrings and Heterotic Strings
Symmetry
Topological manifolds
Towers
title Affine algebras at infinite distance limits in the Heterotic String
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