On D=6 supergravity formulated on superspace:
William D. Linch III, Gabriele Tartaglino-Mazzucchelli, Six-dimensional Supergravity and Projective Superfields, JHEP 1208 (2012) 075 [arXiv:1204.4195, doi:10.1007/JHEP08(2012)075]
Cesar Arias, William D. Linch III, Alexander K. Ridgway: Superforms in Six-dimensional Superspace, J. High Energ. Phys. 2016 16 (2016). [arXiv:1402.4823, doi:10.1007/JHEP05(2016)016]
Cesar Arias, The Geometry of 6D, Superspace and its Matter Couplings [arXiv:1511.00335, spire:1402402]
On D=5 supergravity formulated in superspace:
William Linch III, Markus A. Luty, J. Phillips, Five dimensional supergravity in superspace, Phys. Rev. D 68 (2003) 025008 [arXiv:hep-th/0209060]
Katrin Becker, Melanie Becker, Daniel Butter, William Linch III, Stephen Randall: Five-dimensional Supergravity in Superspace, J. High Energ. Phys. 2020 98 (2020) [arXiv:1909.09208, doi:10.1007/JHEP03(2020)098]
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