Factoring out free fields

Abstract

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.

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

Cited by in corpus (2)

• On the Completeness of the Set of Classical W-Algebras Obtained from DS Reductions
• Quantum Hamiltonian Reduction in Superspace Formalism