Modularity from Monodromy
High Energy Physics - Theory
2019-05-22 v1 Algebraic Geometry
Abstract
In this note we describe a method to calculate the action of a particular Fourier-Mukai transformation on a basis of brane charges on elliptically fibered Calabi-Yau threefolds with and without a section. The Fourier-Mukai kernel is the ideal sheaf of the relative diagonal and for fibrations that admit a section this is essentially the Poincar\'e sheaf. We find that in this case it induces an action of the modular group on the charges of 2-branes.
Cite
@article{arxiv.1902.08215,
title = {Modularity from Monodromy},
author = {Thorsten Schimannek},
journal= {arXiv preprint arXiv:1902.08215},
year = {2019}
}
Comments
19 pages