Supersymmetry Constraints in Holographic Gravities

Details Supersymmetry Constraints in Holographic Gravities Supersymmetry Constraints in Holographic Gravities

2009-12-21

arxiv.org/abs/0912.4244v2

Phys.Rev.D82:066001,2010

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, harvmac; v2: some comments added

Scientific paper

10.1103/PhysRevD.82.066001

Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the coefficients which determine the three point function of the stress energy tensor which can be tested in the dual gravitational theory. We use this relation to formulate a necessary condition for the supersymmetrization of higher derivative gravitational terms. We then show that terms quadratic in the Riemann tensor do not present obstruction to supersymmetrization, while generic higher order terms do. For technical reasons, we restrict the discussion to seven dimensions where the obstruction to supersymmetrization can be formulated in terms of the coefficients of Weyl anomaly, which can be computed holographically.

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