Abstract: Usual Chern-Simons densities are defined only in odd dimensions. This is because they result from the one-dimension descent from the Chern-Pontryagin densities, and rely on the fact that the latter are total-divergence. By constructing densities in terms of gauged scalar fields that are total-divergence, two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are proposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a Higgs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding these new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.
Dikran Tchrakian (DIAS - Dublin)
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This seminar is supported by Portuguese Funds through the CIDMA - Centre for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology ("FCT" - Fundação para a Ciência e a Tecnologia), within the project UID/MAT/04106/2013.
