Gauging Conformal Algebras with Relations between the Generators
Abstract
We investigate the gauging of conformal algebras with relations between the generators. We treat the --algebra as a specific example. We show that the gauge-algebra is in general reducible with an infinite number of stages. We show how to construct the BV-extended action, and hence the classical BRST charge. An important conclusion is that this can always be done in terms of the generators of the --algebra only, that is, independent of the realisation. The present treatment is still purely classical, but already enables us to learn more about reducible gauge algebras and the BV-formalism.
Cite
@article{arxiv.hep-th/9511200,
title = {Gauging Conformal Algebras with Relations between the Generators},
author = {Kris Thielemans and Stefan Vandoren},
journal= {arXiv preprint arXiv:hep-th/9511200},
year = {2007}
}
Comments
10 pages, LaTex, This paper is based on proceedings for the Sixth Seminar on Quantum Gravity, Moscow, 12-17 June '95 and the Conference on Gauge theories, Applied Supersymmetry and Quantum Gravity, Leuven, 10-14 July '95