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't Hooft tensors as Kalb-Ramond fields of generalised monopoles in all odd dimensions: d=3 and d=5

D. H. Tchrakian·F. Zimmerschied
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Abstract

The Kalb-Ramond monopole, as discussed by Nepomechie, is identical with the (singular) Dirac monopole in d=3 dimensions. The latter can be described by the (regular) 't Hooft-Polyakov monopole, via the 't Hooft tensor construction. This construction is extended to arbitrary odd dimensions by performing the d=5 case explicitly, exploiting the (regular) `monopoles' of generalised Georgi-Glashow models and identifying their 't Hooft tensors as the Kalb-Ramond fields. The relevant `magnetic charges' are expressed as topological invariants.

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D. H. Tchrakian, F. Zimmerschied. 2000-01-19. 't Hooft tensors as Kalb-Ramond fields of generalised monopoles in all odd dimensions: d=3 and d=5. https://doi.org/10.1103/physrevd.62.045002

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