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Component reduction in N = 2 supergravity: the vector, tensor, and vector-tensor multiplets

2012/01/31 by Daniel Butter, Joseph D. Novak, Joseph Novak · 46 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Component (thermodynamics) #Conformal map #Dimensional reduction #Exact solutions in general relativity #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Noncommutative and Quantum Gravity Theories #Numerical methods for differential equations #Physics #Pure mathematics #Quantum mechanics #Superfield #Supergravity #Superspace #Supersymmetry #Tensor (intrinsic definition) #Tensor calculus #Tensor field #hep-th

paper · pdf · doi:10.1007/jhep05(2012)115

published in Journal of High Energy Physics 2012(5) (Springer Nature) · 62 pages; v2: added references, typos corrected, minor terminology change; v3: typos corrected; v4: typos corrected, version published in JHEP

openalex publication_date 2012/05/01 · arxiv created 2012/05/30 · arxiv updated 2015/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recent advances in curved N=2 superspace methods have rendered the component reduction of superspace actions more feasible than in the past. In this paper, we consider models involving both vector and tensor multiplets coupled to supergravity and demonstrate explicitly how component actions may be efficiently obtained. In addition, tensor multiplets coupled to conformal supergravity are considered directly within projective superspace, where their formulation is most natural. We then demonstrate how the inverse procedure -- the lifting of component results to superspace -- can simplify the analysis of complicated multiplets. We address the off-shell N=2 vector-tensor multiplet coupled to conformal supergravity with a central charge and demonstrate explicitly how its constraints and Lagrangian can be written in a simpler way using superfields.

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