Filipe Moura JHEP08(2002)038 doi:10.1088/1126-6708/2002/08/038
Four dimensional 
4 superinvariants through gauge completion
Filipe Moura1
Show affiliationsWe fully compute the 
= 1 supersymmetrization of the fourth power of the Weyl tensor in d = 4 x-space with the auxiliary fields. In a previous paper, we showed that their elimination requires an infinite number of terms; we explicitely compute those terms to order κ4 (three loop). We also write, in superspace notation, all the possible = 1 actions, in four dimensions, that contain pure 4 terms (with coupling constants). We explicitely write these actions in terms of the θ components of the chiral density 
and the supergravity superfields R,Gm,WABC. Using the method of gauge completion, we compute the necessary θ components which allow us to write these actions in x-space. We discuss under which circumstances can these extra 4 correction terms be reabsorbed in the pure supergravity action, and their relevance to the quantum supergravity/string theory effective actions.
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E-print Number: hep-th/0206119
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Issue 08 (August 2002)
Received 1 July 2002, accepted for publication 26 August 2002
Published 3 September 2002
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Four dimensional 4 superinvariants through gauge completion
Filipe Moura JHEP08(2002)038
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