2008
DOI: 10.1016/j.nuclphysb.2008.07.005
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(Non-)Abelian discrete anomalies

Abstract: We derive anomaly constraints for Abelian and non-Abelian discrete symmetries using the path integral approach. We survey anomalies of discrete symmetries in heterotic orbifolds and find a new relation between such anomalies and the so-called `anomalous' U(1).Comment: 32 pages, one figure; v2: matches version published in NP

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Cited by 114 publications
(69 citation statements)
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References 58 publications
(145 reference statements)
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“…Various applications have been discussed (see [1][2][3][4][5][6][7][8][9][10][11][12] and references therein) in the contexts of stabilizing baryons, suppressing flavor changing neutral currents and fixing the quark and lepton mixing angles. Recent arguments by Banks and Seiberg shed new light on this subject from a different viewpoint [13].…”
Section: Introductionmentioning
confidence: 99%
“…Various applications have been discussed (see [1][2][3][4][5][6][7][8][9][10][11][12] and references therein) in the contexts of stabilizing baryons, suppressing flavor changing neutral currents and fixing the quark and lepton mixing angles. Recent arguments by Banks and Seiberg shed new light on this subject from a different viewpoint [13].…”
Section: Introductionmentioning
confidence: 99%
“…This model is free [33] of T part of the discrete gauge anomalies [34] and can generate the fermion mass hierarchy and mixings in both lepton and quark sectors with nine real parameters, addressing the structure of flavor in a predictive way. In addition, leptogenesis can be realized by the geometrical CP phases [1].…”
Section: Introductionmentioning
confidence: 99%
“…In many models, R-symmetries and other discrete symmetries are anomalous [42]. It would be important to study how those anomalies affect Rule 4 as well as Rule 5.…”
Section: Discussionmentioning
confidence: 99%