Field Strengths of Linearized 5D, N = 1 Superfield Supergravity On a 3-Brane
S. James Gates, Jr., William D. Linch, III, J. Phillips
TL;DR
This paper develops a geometric superspace formulation of linearized 5D, N=1 supergravity on a 3-brane, confirming Lorentz invariance and connecting to reduced supersymmetric models.
Contribution
It introduces a new geometric formalism for 5D supergravity in 4D, N=1 superspace, verifying previous on-shell structures through superspace methods.
Findings
Confirmed Lorentz invariance of the 5D supergravity description
Established a geometric superspace formulation
Connected to dimensionally reduced supersymmetric models
Abstract
Recently a description of linearized 5D supergravity in 4D, N =1 superspace was presented. By analyzing the on-shell component Lagrangian, this description was proven to be Lorentz invariant in five dimensions. This paper describes a geometric formulation of the 5D supergravity in 4D, N =1 superspace. Using this new formalism, the on-shell structure of the previous description is verified from purely superspace methods. This geometric description provides a connection to dimensionally reduced manifestly supersymmetric 5D supergravity.
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