General Solution to the U(1) Anomaly Equations

12/11/2019 - 15:00
Davi B. Costa - Mestrando do Departamento de Física Matemática
Sala de Seminários José Roberto Leite - Edifício Alessandro Volta (bloco C)

The anomaly cancellation equations for the U(1) gauge group can be written as a cubic equation in n−1 integer variables, where n is the number of Weyl fermions carrying the U(1) charge. We solve this Diophantine cubic equation by providing a parametrization of the charges in terms of n−2 integers, and prove that this is the most general solution.