Counting fermionic zero modes on M5 with fluxes
High Energy Physics - Theory
2009-11-11 v2
Abstract
We study the Dirac equation on an M5 brane wrapped on a divisor in a Calabi--Yau fourfold in the presence of background flux. We reduce the computation of the normal bundle U(1) anomaly to counting the solutions of a finite--dimensional linear system on cohomology. This system depends on the choice of flux. In an example, we find that the presence of flux changes the anomaly and allows instanton corrections to the superpotential which would otherwise be absent.
Keywords
Cite
@article{arxiv.hep-th/0503138,
title = {Counting fermionic zero modes on M5 with fluxes},
author = {Renata Kallosh and Amir-Kian Kashani-Poor and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:hep-th/0503138},
year = {2009}
}
Comments
14 pages. v2: reference added, typos corrected, few changes