Four dimensional "old minimal" N=2 supersymmetrization of R^4

Details Four dimensional "old minimal" N=2 supersymmetrization of R^4 Four dimensional "old minimal" N=2 supersymmetrization of R^4

2002-12-23

arxiv.org/abs/hep-th/0212271v3

JHEP 0307 (2003) 057

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figures. Minor corrections. Details of the full calculation included as an appendix. Reference added

Scientific paper

10.1088/1126-6708/2003/07/057

We write in superspace the lagrangian containing the fourth power of the Weyl tensor in the "old minimal" d=4, N=2 supergravity, without local SO(2) symmetry. Using gauge completion, we analyze the lagrangian in components. We find out that the auxiliary fields which belong to the Weyl and compensating vector multiplets have derivative terms and therefore cannot be eliminated on-shell. Only the auxiliary fields which belong to the compensating nonlinear multiplet do not get derivatives and could still be eliminated; we check that this is possible in the leading terms of the lagrangian. We compare this result to the similar one of "old minimal" N=1 supergravity and we comment on possible generalizations to other versions of N=1,2 supergravity.

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