Journal of High Energy Physics

, 2018:202 | Cite as

Mixed global anomalies and boundary conformal field theories

  • Tokiro NumasawaEmail author
  • Satoshi Yamaguch
Open Access
Regular Article - Theoretical Physics


We consider the relation between mixed global gauge gravitational anomalies and boundary conformal field theory in WZW models for simple Lie groups. The discrete symmetries of consideration are the centers of the simple Lie groups. These mixed anomalies prevent gauging them i.e, taking the orbifold by the center. The absence of anomalies impose conditions on the levels of WZW models. Next, we study the conformal boundary conditions for the original theories. We consider the existence of a conformal boundary state invariant under the action of the center. This also gives conditions on the levels of WZW models. By considering the combined action of the center and charge conjugation on boundary states, we reproduce the condition obtained in the orbifold analysis.


Anomalies in Field and String Theories Conformal Field Theory Discrete Symmetries 


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

  1. 1.Department of Physics, Graduate School of ScienceOsaka UniversityToyonakaJapan
  2. 2.Department of PhysicsMcGill UniversityMontréalCanada

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