Factoring out free fields

Physics – High Energy Physics – High Energy Physics - Theory

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LATEX, 7 pp, KUL-TF-93/26. Small revisions in section on "Induced and effective $\Ww$ gravities" regarding regularization issu

Scientific paper

For a generic $\Ww$ algebra, we give an algorithmic procedure for factoring out all fields of dimension $1/2$, both bosonic and fermionic, and some fields of dimension $1$. This generalizes and makes more explicit the Goddard-Schwimmer theorem for free fermions. We also show how the induced gravity theory for the original $\Ww$ algebra containing the free fields relates to the theory where the fields are factored out.

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