't Hooft tensors as Kalb-Ramond fields of generalized monopoles in all odddimensions: d=3 and d=5 - art. no. 045002

Citation
Dh. Tchrakian et F. Zimmerschied, 't Hooft tensors as Kalb-Ramond fields of generalized monopoles in all odddimensions: d=3 and d=5 - art. no. 045002, PHYS REV D, 6204(4), 2000, pp. 5002
Citations number
44
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6204
Issue
4
Year of publication
2000
Database
ISI
SICI code
0556-2821(20000815)6204:4<5002:'HTAKF>2.0.ZU;2-F
Abstract
Rank d-1 antisymmetric tensor fields in d Euclidean dimensions, known as Ka lb-Ramond fields, can describe monopole-like solutions. In d=3 dimensions t his Kalb-Ramond monopole is the (singular) Dirac monopole, which in turn ca n be described by the (regular) 't Hooft-Polyakov monopole, via the 't Hoof t tensor construction. This construction is extended to arbitrary odd dimen sions by performing the d=5 case explicitly, exploiting the (regular) "mono poles" of generalized Georgi-Glashow models and identifying their 't Hooft tensors as the Kalb-Ramond fields. The relevant "magnetic charges" are expr essed as topological invariants.