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- Title
Chiral anomalies on a circle and their cancellation in F-theory.
- Authors
Corvilain, Pierre; Grimm, Thomas W.; Regalado, Diego
- Abstract
We study in detail how four-dimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the Kaluza-Klein modes in a way that preserves the four-dimensional symmetries in the UV, we show that the three-dimensional theory contains field-dependent Chern-Simons terms that appear at one-loop. These vanish if and only if the four-dimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to situations where anomalies are canceled through a Green-Schwarz mechanism. We then use these results to show automatic cancellation of local anomalies in F-theory compactifications that can be obtained as a limit of M-theory on a smooth Calabi-Yau fourfold with background flux.
- Subjects
CHIRALITY; GAUGE field theory; CONFORMAL field theory; QUANTUM field theory; SUPERSTRING theories; SUPERSYMMETRY
- Publication
Journal of High Energy Physics, 2018, Vol 2018, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2018)020