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- W2068132471 abstract "The fundamental group and rational cohomology of the configuration spaces of the Skyrme and Faddeev-Hopf models are computed. Physical space is taken to be a compact oriented 3-manifold, either with or without a marked point representing an end at infinity. For the Skyrme model, the codomain is any Lie group, while for the Faddeev-Hopf model it is $S^2$. It is determined when the topology of configuration space permits fermionic and isospinorial quantization of the solitons of the model within generalizations of the frameworks of Finkelstein-Rubinstein and Sorkin. Fermionic quantization of Skyrmions is possible only if the target group contains a symplectic or special unitary factor, while fermionic quantization of Hopfions is always possible. Geometric interpretations of the results are given." @default.
- W2068132471 created "2016-06-24" @default.
- W2068132471 creator A5073687802 @default.
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- W2068132471 date "2006-01-26" @default.
- W2068132471 modified "2023-09-27" @default.
- W2068132471 title "Fermionic Quantization and Configuration Spaces for the Skyrme and Faddeev-Hopf Models" @default.
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- W2068132471 doi "https://doi.org/10.1007/s00220-005-1496-1" @default.
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