Semiinvariant terms for gauged nonlinear sigma models

Henneaux, Marc; Wilch, Andre

doi:10.1016/S0370-2693(99)01386-6

Semiinvariant terms for gauged nonlinear sigma models

Marc Henneaux
(
- Brussels U. and
- CECS, Valdivia
)
,
Andre Wilch
(
- Brussels U.
)

Jun, 1999

15 pages

Published in:

Phys.Lett.B 471 (2000) 373-381

e-Print:

hep-th/9906121 [hep-th]

DOI:

10.1016/S0370-2693(99)01386-6

Report number:

ULB-TH-99-08

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Abstract:

We determine all the terms that are gauge-invariant up to a total spacetime derivative ("semi-invariant terms") for gauged non-linear sigma models. Assuming that the isotropy subgroup

H

of the gauge group is compact or semi-simple, we show that (non-trivial) such terms exist only in odd dimensions and are equivalent to the familiar Chern-Simons terms for the subgroup

H

. Various applications are mentioned, including one to the gauging of the Wess-Zumino-Witten terms in even spacetime dimensions. Our approach is based on the analysis of the descent equation associated with semi-invariant terms.

sigma model: nonlinear
gauge field theory
dimension: 2
coset space
Chern-Simons term
Wess-Zumino term
transformation: Becchi-Rouet-Stora
differential forms

References(23)

Figures(0)

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