2024/10/31 by Nephtalí Eliceo Martínez Pérez, Pérez, Nephtalí Eliceo Martínez, Romero, Cupatitzio Ramírez
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2411.00220
openalex publication_date 2024/10/31 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/28
Continuous symmetries of spacetime such as spatial homogeneity and isotropy are rigorously defined using the concept of isometries and Killing vectors. In supergravity, the metric, or rather the tetrad, is not a standalone entity, but is part of a multiplet containing also the Rarita-Schwinger spinor-vector. Thus, we pursue a generalization of the Killing equations that is in harmony with the tenets of supergravity. Using a superfield approach, we derive one such generalization of the Killing equations encompassing the whole supergravity multiplet. A relaxation of the spinor-vector equations is required to allow for a non-vanishing isotropic Rarita-Schwinger field.