On conformal deformations

Barak Kol

doi:10.1088/1126-6708/2002/09/046

On conformal deformations

Barak Kol^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

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.

Original language	English
Pages (from-to)	963-973
Number of pages	11
Journal	Journal of High Energy Physics
Volume	6
Issue number	9
DOIs	https://doi.org/10.1088/1126-6708/2002/09/046
State	Published - 1 Sep 2002
Externally published	Yes

Keywords

AdS-CFT and ds-CFT Correspondence
Classical Theories of Gravity
Renormalization Group
Supergravity Models

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10.1088/1126-6708/2002/09/046

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AB - For a conformal theory it is natural to seek the conformal moduli space, Mc to which it belongs, generated by the exactly marginal deformations. By now we should have the tools to determine Mc 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 Mc are discussed.

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On conformal deformations

Abstract

Keywords

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