Repairing Broken Algebras
High Energy Physics - Theory
2010-02-03 v3
Abstract
We consider theories characterized by a set of Ward operators which do not form a closed algebra. We impose the Slavnov--Taylor identity built out of the Ward operators and we derive the acceptable breaking of the algebra and the general form of the classical action. The 1PI generating functional is expressed in terms of the known quantities characterizing the theory and of a nontrivial integrability condition. As a nontrivial application of our formalism, we discuss the N=4 supersymmetric nonlinear sigma model.
Keywords
Cite
@article{arxiv.hep-th/9812131,
title = {Repairing Broken Algebras},
author = {Alberto Blasi and Nicola Maggiore},
journal= {arXiv preprint arXiv:hep-th/9812131},
year = {2010}
}
Comments
one section containing a remarkable (and unexpected) result on N=4 supersymmetric sigma model has been added. 10 pages, plain LaTeX, no figures