Non-Abelian orbifolds of the SO(32) heterotic string

Fuente: arXiv
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Main Authors: Hernandez-Segura, Miguel, Ramos-Sanchez, Saul
Format: Preprint
Published: 2025
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author Hernandez-Segura, Miguel
Ramos-Sanchez, Saul
author_facet Hernandez-Segura, Miguel
Ramos-Sanchez, Saul
contents Non-Abelian toroidal heterotic orbifolds have received comparatively little attention, mainly because of the significant computational challenges they pose, even at the level of computing their matter spectrum. Similarly, the SO(32) heterotic string remains relatively unexplored. In this paper, we provide some useful tools to handle this situation. We find that certain non-Abelian orbifolds can be studied using the techniques that are common to Abelian compactifications. In such cases, we show how to compute the gauge groups and massless matter spectrum for non-Abelian orbifolds of the SO(32) heterotic string with standard embedding. A general feature of these constructions is the reduction of the rank of the gauge group. Our findings motivate further research on non-Abelian orbifolds with non-standard embedding, where realistic, rank-reduced models are expected to emerge.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08370
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Abelian orbifolds of the SO(32) heterotic string
Hernandez-Segura, Miguel
Ramos-Sanchez, Saul
High Energy Physics - Theory
Non-Abelian toroidal heterotic orbifolds have received comparatively little attention, mainly because of the significant computational challenges they pose, even at the level of computing their matter spectrum. Similarly, the SO(32) heterotic string remains relatively unexplored. In this paper, we provide some useful tools to handle this situation. We find that certain non-Abelian orbifolds can be studied using the techniques that are common to Abelian compactifications. In such cases, we show how to compute the gauge groups and massless matter spectrum for non-Abelian orbifolds of the SO(32) heterotic string with standard embedding. A general feature of these constructions is the reduction of the rank of the gauge group. Our findings motivate further research on non-Abelian orbifolds with non-standard embedding, where realistic, rank-reduced models are expected to emerge.
title Non-Abelian orbifolds of the SO(32) heterotic string
topic High Energy Physics - Theory
url https://arxiv.org/abs/2506.08370