Consistent Supergravity with Complex Spin-32Gauge Fields

1976/12/20 by S. Ferrara, P. van Nieuwenhuizen · 1 voice · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Cosmology and Gravitation Theories

paper · doi:10.1103/physrevlett.37.1669

openalex publication_date 1976/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

We construct a new theory of supergravity which is invariant under complex local supersymmetry transformations. This theory is obtained by coupling the massless spin-((3)/(2),1) multiplet of ordinary global supersymmetry to the spin-(2,(3)/(2)) gauge multiplet of previous supergravity.

Citations

• On a Theory of Particles with Half-Integral Spin

Cited by

• N = 2 supergravity theory with a gauged central charge
• Agujeros negros clasicos y cuanticos en teoria de cuerdas
• Gauge theory of gravity and supergravity
• Supergravity in theory in 11 dimensions
• Supergravity

Discussions

• Your first equation is pathological/flawed, contrast to (4) below; but your second and third could make some sense. If you have suppressed the 1,2 indices on the l.h.side, you need to have done this f [stackexchange, 0 points]