2-Group Symmetries of 6D Little String Theories and T-Duality

We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2-groups of a pair of T-dual LSTs have to match. When the T-duality i...

Descripción completa

Detalles Bibliográficos
Autores principales: Del Zotto, Michele, Ohmori, Kantaro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550490/
https://www.ncbi.nlm.nih.gov/pubmed/34720696
http://dx.doi.org/10.1007/s00023-021-01018-3
_version_ 1784590970316128256
author Del Zotto, Michele
Ohmori, Kantaro
author_facet Del Zotto, Michele
Ohmori, Kantaro
author_sort Del Zotto, Michele
collection PubMed
description We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2-groups of a pair of T-dual LSTs have to match. When the T-duality involves a discrete symmetry twist, the 2-group used in the matching is modified. We demonstrate the matching of the 2-groups in several examples.
format Online
Article
Text
id pubmed-8550490
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-85504902021-10-29 2-Group Symmetries of 6D Little String Theories and T-Duality Del Zotto, Michele Ohmori, Kantaro Ann Henri Poincare Original Paper We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2-groups of a pair of T-dual LSTs have to match. When the T-duality involves a discrete symmetry twist, the 2-group used in the matching is modified. We demonstrate the matching of the 2-groups in several examples. Springer International Publishing 2021-02-16 2021 /pmc/articles/PMC8550490/ /pubmed/34720696 http://dx.doi.org/10.1007/s00023-021-01018-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Del Zotto, Michele
Ohmori, Kantaro
2-Group Symmetries of 6D Little String Theories and T-Duality
title 2-Group Symmetries of 6D Little String Theories and T-Duality
title_full 2-Group Symmetries of 6D Little String Theories and T-Duality
title_fullStr 2-Group Symmetries of 6D Little String Theories and T-Duality
title_full_unstemmed 2-Group Symmetries of 6D Little String Theories and T-Duality
title_short 2-Group Symmetries of 6D Little String Theories and T-Duality
title_sort 2-group symmetries of 6d little string theories and t-duality
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550490/
https://www.ncbi.nlm.nih.gov/pubmed/34720696
http://dx.doi.org/10.1007/s00023-021-01018-3
work_keys_str_mv AT delzottomichele 2groupsymmetriesof6dlittlestringtheoriesandtduality
AT ohmorikantaro 2groupsymmetriesof6dlittlestringtheoriesandtduality

Ejemplares similares