M-theory on Elliptic Calabi-Yau Threefolds and 6d Anomalies
High Energy Physics - Theory
2015-05-27 v2 Algebraic Geometry
Abstract
We consider the 8-supercharge 5d su(N) gauge theories from M-theory compactified on elliptic Calabi-Yau threefolds. By matching the triple intersection numbers in the elliptic Calabi-Yau with the 5d Chern-Simons levels, we determine the charged matter contents for these theories. We show that all these 5d theories can be lifted to 6d N = (1, 0) theories while satisfying the anomaly cancellation equations. This suggests that the 5d theories obtained from M-theory compactified on elliptic Calabi-Yau threefolds have a natural 12d description, which as we know is F-theory. Furthermore, we compute the Euler characteristics of the elliptic Calabi-Yau threefolds.
Keywords
Cite
@article{arxiv.1504.01387,
title = {M-theory on Elliptic Calabi-Yau Threefolds and 6d Anomalies},
author = {Mboyo Esole and Shu-Heng Shao},
journal= {arXiv preprint arXiv:1504.01387},
year = {2015}
}
Comments
37 pages + Appendices, 3 Tables, 7 Figures; v2 typo corrected