2017/01/31 by Daniel Butter, Joseph D. Novak, Joseph Novak +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Component (thermodynamics) #Conformal map #Cosmology and Gravitation Theories #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spectral line #Supergravity #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep05(2017)133
42 pages; supplementary file included in submission; v2: added references, corrected typos; v3: minor corrections, references added
openalex publication_date 2017/05/01 · arxiv created 2017/06/29 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In the recent paper arXiv:1606.02921 , the two invariant actions for 6D N=(1,0) conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of C 3 and C□C. In this paper, we provide the translation from superspace to the component formulation of superconformal tensor calculus, and we give the full component actions of these two invariants. As a second application, we build the component form for the supersymmetric F□F action coupled to conformal supergravity. Exploiting the fact that the N=(2,0) Weyl multiplet has a consistent truncation to N=(1,0) , we then verify that there is indeed only a single N=(2,0) conformal supergravity invariant and reconstruct most of its bosonic terms by uplifting a certain linear combination of N=(1,0) invariants.