Chiral anomalies on a circle and their cancellation in Ftheory
Abstract
We study in detail how fourdimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the KaluzaKlein modes in a way that preserves the fourdimensional symmetries in the UV, we show that the threedimensional theory contains fielddependent ChernSimons terms that appear at oneloop. These vanish if and only if the fourdimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to situations where anomalies are canceled through a GreenSchwarz mechanism. We then use these results to show automatic cancellation of local anomalies in Ftheory compactifications that can be obtained as a limit of Mtheory on a smooth CalabiYau fourfold with background flux.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2018
 DOI:
 10.1007/JHEP04(2018)020
 arXiv:
 arXiv:1710.07626
 Bibcode:
 2018JHEP...04..020C
 Keywords:

 Anomalies in Field and String Theories;
 FTheory;
 Effective Field Theories;
 Superstring Vacua;
 High Energy Physics  Theory
 EPrint:
 39 pages, 3 figures. v2: references added and typos corrected