\mathcal N=3 nonlinear multiplet and supergravity

2025/01/20 by Sergei M. Kuzenko, Kuzenko, Sergei M., Emmanouil S. N. Raptakis +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2501.11339

openalex publication_date 2025/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose an \mathcal N=3 nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for \mathcal N = 3 Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group SL(2,ℂ), imply that the \mathcal N = 3 super-Bach tensor vanishes, and thus every solution of Poincaré supergravity is a solution of conformal supergravity. The aforementioned superspace formulation, which we refer to as \mathcal N=3 Einstein superspace, is described in terms of two dimension-1/2 superfields: (i) the super-Weyl spinor W_α; and (ii) a spinor isospinor χ_αⁱ.

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