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 Poincaré sheaf. We find that in this case it induces an action of the modular group on the charges of 2-branes.
CITATION STYLE
Schimannek, T. (2019). Modularity from monodromy. Journal of High Energy Physics, 2019(5). https://doi.org/10.1007/JHEP05(2019)024
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