Anomalyfree sets of fermions
Abstract
We present new techniques for finding anomalyfree sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomalyfree. Applying these techniques to extensions of the standard model, we find anomalyfree models that have arbitrary quark and lepton charges under an additional U (1) gauge group.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 August 2006
 DOI:
 10.1063/1.2222081
 arXiv:
 arXiv:hepph/0510181
 Bibcode:
 2006JMP....47h2301B
 Keywords:

 11.15.q;
 11.30.Rd;
 12.60.i;
 Gauge field theories;
 Chiral symmetries;
 Models beyond the standard model;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 21 (+1) pages