A Note on Wess-Zumino Terms and Discrete Symmetries

Details A Note on Wess-Zumino Terms and Discrete Symmetries A Note on Wess-Zumino Terms and Discrete Symmetries

1998-07-16

arxiv.org/abs/hep-th/9807116v2

Phys.Lett. B444 (1998) 147-155

Physics

High Energy Physics

High Energy Physics - Theory

11 pages TeX and mtexsis.tex, 1 figure (uses epsf), corrected typos

Scientific paper

10.1016/S0370-2693(98)01367-7

Sigma models in which the integer coefficient of the Wess-Zumino term vanishes are easy to construct. This is the case if all flavor symmetries are vectorlike. We show that there is a subset of SU(N)XSU(N) vectorlike sigma models in which the Wess-Zumino term vanishes for reasons of symmetry as well. However, there is no chiral sigma model in which the Wess-Zumino term vanishes for reasons of symmetry. This can be understood in the sigma model basis as a consequence of an index theorem for the axialvector coupling matrix. We prove this index theorem directly from the SU(N)XSU(N) algebra.

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