Gauged Skyrme analogue of Chern-Pontryagin
Abstract
An analogue of the Chern-Pontryagin density for SO(D) gauged O(D+1) Skyrme systems, referred to as Skyrme--Chern-Pontryagin (SCP) densities is known for dimensions D=2,3,4. Since these are defined only through a prescription, it is necessary to extend the realisation to higher D, which is carried out here for D=5. The construction of SCP densities in D=2,3,4,5 is presented here in a unified pattern with the aim of pointing out to the possible extrapolation to all dimensions.
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