On Conformal Deformations

Details On Conformal Deformations On Conformal Deformations

2002-05-14

arxiv.org/abs/hep-th/0205141v1

JHEP 0209 (2002) 046

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1088/1126-6708/2002/09/046

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.

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