4.7 Article

Anomaly-safe discrete groups

Journal

PHYSICS LETTERS B
Volume 747, Issue -, Pages 22-26

Publisher

ELSEVIER
DOI: 10.1016/j.physletb.2015.05.047

Keywords

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Funding

  1. DFG cluster of excellence Origin and Structure of the Universe by Deutsche Forschungsgemeinschaft (DFG)
  2. DFG
  3. TUM Graduate School
  4. U.S. National Science Foundation (NSF) [PHY-1316792, PHY11-25915]
  5. Aspen Center for Physics
  6. ERC [267104]
  7. Direct For Mathematical & Physical Scien
  8. Division Of Physics [1316792] Funding Source: National Science Foundation

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We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies. We present two different ways that allow one to understand these statements. (C) 2015 The Authors. Published by Elsevier B.V.

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