Superconformal algebras for generalized Spin(7) and G$_2$ connected sums
High Energy Physics - Theory
2021-10-22 v2
Abstract
Worldsheet string theory compactified on exceptional holomony manifolds is revisited following arXiv:1809.06376, where aspects of the chiral symmetry were described for the case where the compact space is a 7-dimensional G-holonomy manifold constructed as a Twisted Connected Sum. We reinterpret this result and extend it to Extra Twisted Connected Sum G-manifolds, and to 8-dimensional Generalized Connected Sum Spin(7)-manifolds. Automorphisms of the latter construction lead us to conjecture new mirror maps.
Keywords
Cite
@article{arxiv.2104.05716,
title = {Superconformal algebras for generalized Spin(7) and G$_2$ connected sums},
author = {Marc-Antoine Fiset and Mateo Galdeano},
journal= {arXiv preprint arXiv:2104.05716},
year = {2021}
}
Comments
Reference added, minor changes in sections 3 and 4 to match published version. 34 pages