On Conformal Deformations
High Energy Physics - Theory
2009-11-07 v1
Abstract
For a conformal theory it is natural to seek the conformal moduli space, M_c to which it belongs, generated by the exactly marginal deformations. By now we should have the tools to determine M_c in the presence of enough supersymmetry. Here it is shown that its dimension is determined in terms of a certain index. Moreover, the D-term of the global group is an obstruction for deformation, in presence of a certain amount of preserved supersymmetry. As an example we find that the deformations of the membrane (3d) field theory, under certain conditions, are in 35/SL(4,C). Other properties including the local geometry of M_c are discussed.
Cite
@article{arxiv.hep-th/0205141,
title = {On Conformal Deformations},
author = {Barak Kol},
journal= {arXiv preprint arXiv:hep-th/0205141},
year = {2009}
}
Comments
10 pages