Abstract
We comment on aspects of discrete anomaly conditions focussing particularly on R symmetries. We review the Green-Schwarz cancellation of discrete anomalies, providing a heuristic explanation why, in the heterotic string, only the “model-independent dilaton” transforms non-linearly under discrete symmetries; this argument suggests that, in other theories, multiple fields might play a role in anomaly cancellations, further weakening any anomaly constraints at low energies. We provide examples in open string theories of non-universal discrete anomalies at low energies. We then consider the fact that R symmetries are necessarily broken at low energies. We exhibit dynamical models, in which fields charged under the Standard Model gauge group (for example, a doublet and a triplet) gain roughly equal masses, but where the doublet and the triplet possess different discrete charges and the low-energy anomaly conditions fail.
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ArXiv ePrint: 1212.4371
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Dine, M., Monteux, A. Discrete R symmetries and anomalies. J. High Energ. Phys. 2014, 11 (2014). https://doi.org/10.1007/JHEP01(2014)011
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DOI: https://doi.org/10.1007/JHEP01(2014)011