Factoring out free fields
Abstract
For a generic 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 algebra containing the free fields relates to the theory where the fields are factored out.
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