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Gauged Skyrme analogue of Chern-Pontryagin (2406.18409v2)
Published 26 Jun 2024 in hep-th, math-ph, and math.MP
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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