Resumen
In the presence of a nonzero B-field, the symmetries of the E8×E8 heterotic string form a 2-group, or a categorified group, as do the symmetries of the CHL string. We express the bordism groups of the corresponding tangential structures as twisted string bordism groups, then compute them through dimension 11 modulo a few unresolved ambiguities. Then, we use these bordism groups to study anomalies and defects for these two string theories.
| Idioma original | English |
|---|---|
| Título de la publicación alojada | Higher Structures in Topology, Geometry, and Physics - AMS Special Session Higher Structures in Topology, Geometry, and Physics, 2022 |
| Editores | Ralph M. Kaufmann, Martin Markl, Alexander A. Voronov |
| Páginas | 227-297 |
| Número de páginas | 71 |
| DOI | |
| Estado | Published - 2024 |
| Evento | AMS Special Session on Higher Structures in Topology, Geometry, and Physics, 2022 - Virtual, Online Duración: mar 26 2022 → mar 27 2022 |
Serie de la publicación
| Nombre | Contemporary Mathematics |
|---|---|
| Volumen | 802 |
| ISSN (versión impresa) | 0271-4132 |
| ISSN (versión digital) | 1098-3627 |
Conference
| Conference | AMS Special Session on Higher Structures in Topology, Geometry, and Physics, 2022 |
|---|---|
| Ciudad | Virtual, Online |
| Período | 3/26/22 → 3/27/22 |
Nota bibliográfica
Publisher Copyright:© 2024 American Mathematical Society.
Financiación
I especially want to thank Miguel Montero both for suggesting this project and for many helpful conversations about the material in this paper, and Matthew Yu for many helpful discussions relating to [DY23] and other ideas related to this paper. I also want to thank Markus Dierigl and the anonymous referee for helpful comments on a draft. In addition, this paper benefited from conversations with Ivano Basile, Matilda Delgado, Jacques Distler, Dan Freed, Jonathan J. Heckman, Justin Kaidi, Jacob McNamara, Yuji Tachikawa, and Roberto Telléz Domínguez; thank you to all! Part of this project was completed while AD visited the Perimeter Institute for Theoretical Physics; research at Perimeter is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation.
| Financiadores |
|---|
| Yuji Tachikawa |
| Canada Excellence Research Chairs, Government of Canada |
| Industry Canada |
| Ontario Ministry of Research, Innovation and Science |
ASJC Scopus subject areas
- General Mathematics
Huella
Profundice en los temas de investigación de 'Bordism for the 2-group symmetries of the heterotic and CHL strings'. En conjunto forman una huella única.Citar esto
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