Exploring the landscape of CHL strings on Td

A bstract Compactifications of the heterotic string on special T d /ℤ 2 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II...

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Veröffentlicht in:The journal of high energy physics 2021-08, Vol.2021 (8), Article 95
Hauptverfasser: Font, Anamaría, Fraiman, Bernardo, Graña, Mariana, Núñez, Carmen A., De Freitas, Héctor Parra
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Sprache:eng
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Zusammenfassung:A bstract Compactifications of the heterotic string on special T d /ℤ 2 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II ( d ) , which is not self-dual for d > 1. By using computer algorithms which exploit the properties of lattice embeddings, we perform a systematic exploration of the moduli space for d ≤ 2, and give a list of maximally enhanced points where the U(1) d +8 enhances to a rank d + 8 non-Abelian gauge group. For d = 1, these groups are simply-laced and simply-connected, and in fact can be obtained from the Dynkin diagram of E10. For d = 2 there are also symplectic and doubly-connected groups. For the latter we find the precise form of their fundamental groups from embeddings of lattices into the dual of II (2) . Our results easily generalize to d > 2.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2021)095