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Four dimensional N = 1 supersymmetrization of Script R4 in superspace

2001/06/30 by Filipe Moura · 10 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Coupling (piping) #Coupling constant #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Series (stratigraphy) #Shell (structure) #Superspace #Supersymmetry #Term (time) #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/09/026

published in Journal of High Energy Physics 2001(09), 026 (Springer Nature) · 30 pages, no figures. Reference added, typos corrected. Calculation details included as an appendix

openalex publication_date 2001/09/19 · arxiv created 2001/10/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We write an action, in four dimensional N=1 curved superspace, which contains a pure R4 term with a coupling constant. Starting from the off-shell solution of the Bianchi identities, we compute the on-shell torsions and curvatures with this term. We show that their complete solution includes, for some of them, an infinite series in the R4 coupling constant, which can only be computed iteratively. We explicitly compute the superspace torsions and curvatures up to second order in this coupling constant. Finally, we comment on the lifting of this result to higher dimensions.

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