T-duality for non-critical heterotic strings

Abstract We consider non-critical heterotic strings compactified on S 1. For full rank theories, they are related to odd self-dual lattices and are structurally of the same form as the critical non-supersymmetric theories. For dimensions up to 14 the associated moduli spaces are Coxeter polytopes al...

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Main Author: Héctor Parra De Freitas
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)173
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author Héctor Parra De Freitas
author_facet Héctor Parra De Freitas
author_sort Héctor Parra De Freitas
collection DOAJ
description Abstract We consider non-critical heterotic strings compactified on S 1. For full rank theories, they are related to odd self-dual lattices and are structurally of the same form as the critical non-supersymmetric theories. For dimensions up to 14 the associated moduli spaces are Coxeter polytopes already studied by Vinberg and Kaplinskaya. In the heterotic string context, the Coxeter diagrams of these moduli spaces are related through transformations representing the process of dimension changing tachyon condensation of Hellerman-Swanson. For dimensions 8 and 6 respectively on S 1 and T 2 we show that at special points in the moduli space the subcritical string is the CHS background for two coincident NS5-branes and the intersection of two such pairs. These configurations are interpreted as an end result of condensing heterotic winding tachyons along one or two Scherck-Schwarz circles at self-dual radius. We give evidence that in the first case there is a T-duality between the pair of NS5-branes and a recently constructed non-supersymmetric heterotic 6-brane.
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spelling doaj-art-512de5744fc14619aa227bb2ca2a773e2025-02-09T12:07:29ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112310.1007/JHEP01(2025)173T-duality for non-critical heterotic stringsHéctor Parra De Freitas0Jefferson Physical Laboratory, Harvard UniversityAbstract We consider non-critical heterotic strings compactified on S 1. For full rank theories, they are related to odd self-dual lattices and are structurally of the same form as the critical non-supersymmetric theories. For dimensions up to 14 the associated moduli spaces are Coxeter polytopes already studied by Vinberg and Kaplinskaya. In the heterotic string context, the Coxeter diagrams of these moduli spaces are related through transformations representing the process of dimension changing tachyon condensation of Hellerman-Swanson. For dimensions 8 and 6 respectively on S 1 and T 2 we show that at special points in the moduli space the subcritical string is the CHS background for two coincident NS5-branes and the intersection of two such pairs. These configurations are interpreted as an end result of condensing heterotic winding tachyons along one or two Scherck-Schwarz circles at self-dual radius. We give evidence that in the first case there is a T-duality between the pair of NS5-branes and a recently constructed non-supersymmetric heterotic 6-brane.https://doi.org/10.1007/JHEP01(2025)173String DualitySuperstrings and Heterotic StringsTachyon Condensation
spellingShingle Héctor Parra De Freitas
T-duality for non-critical heterotic strings
Journal of High Energy Physics
String Duality
Superstrings and Heterotic Strings
Tachyon Condensation
title T-duality for non-critical heterotic strings
title_full T-duality for non-critical heterotic strings
title_fullStr T-duality for non-critical heterotic strings
title_full_unstemmed T-duality for non-critical heterotic strings
title_short T-duality for non-critical heterotic strings
title_sort t duality for non critical heterotic strings
topic String Duality
Superstrings and Heterotic Strings
Tachyon Condensation
url https://doi.org/10.1007/JHEP01(2025)173
work_keys_str_mv AT hectorparradefreitas tdualityfornoncriticalheteroticstrings