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Chiral anomalies on a circle and their cancellation in F-theory

  • Pierre Corvilain
  • Thomas W. Grimm
  • Diego Regalado
Open Access
Regular Article - Theoretical Physics

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.

Keywords

Anomalies in Field and String Theories F-Theory Effective Field Theories Superstring Vacua 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Pierre Corvilain
    • 1
  • Thomas W. Grimm
    • 1
  • Diego Regalado
    • 2
  1. 1.Institute for Theoretical Physics and Center for Extreme Matter and Emergent PhenomenaUtrecht UniversityUtrechtThe Netherlands
  2. 2.Theoretical Physics DepartmentCERNGenevaSwitzerland

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