Topological currents for arbitrary chiral groups in three space dimensions

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, , Citation C J Isham 1977 J. Phys. A: Math. Gen. 10 1397 DOI 10.1088/0305-4470/10/8/018

0305-4470/10/8/1397

Abstract

It is shown that the homotopy classes of soliton-type solutions to chiral field theories in three space dimensions are determined entirely by cohomological properties. This result is employed to construct topological currents which are identically conserved and whose integrated time component contains all the homotopical information.

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10.1088/0305-4470/10/8/018