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Wednesday, November 6, 2019 at 2:00pm
Physical Sciences Building, 401
245 East Avenue
All anomaly-free U(1) theories
Abstract: In order to be well-behaved at high energies, gauge theories must be free of gauge anomalies. Furthermore, if the fermions are chiral the cancellation of anomalies requires careful assignment of the fermion charges under the gauge group. For a U(1) theory the (integer) charges of the fermions must satisfy a cubic equation. Generating consistent chiral theories is a challenging endeavor. I will describe the recently discovered solution to this Diophantine cubic equation which provides a parametrization of the charges in terms of integers, and prove that this is the most general solution. I will present some extensions to theories with multiple U(1) gauge symmetries, including a discussion of the smallest number of fermions necessary to have a consistent chiral theory.
Katerina Malysheva
6072554951
Patrick Fox
Fermilab
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