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LEPP Theory Seminar: Patrick Fox (Fermilab)

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.  

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Event Type

Seminar

Departments

Physics, LEPP, CLASSE

Website

https://www.classe.cornell.edu/NewsAn...

Contact E-Mail

evm23@cornell.edu

Contact Name

Katerina Malysheva

Contact Phone

6072554951

Speaker

Patrick Fox

Speaker Affiliation

Fermilab

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