2-Group Symmetries of 6d Little String Theories and T-duality
High Energy Physics - Theory
2021-08-04 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2009.03489,
title = {2-Group Symmetries of 6d Little String Theories and T-duality},
author = {Michele Del Zotto and Kantaro Ohmori},
journal= {arXiv preprint arXiv:2009.03489},
year = {2021}
}
Comments
27 pages, references added, typos fixed, version to appear in Annales Henri Poincar\'e