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Fields and quanta



In quantum field theory the term gravitino refers to the superpartner of the graviton, a Rarita-Schwinger field of spin 3/23/2 that appears in supergravity.

In supergravity a field configuration is a connection locally given by a Lie algebra-valued form

(E,Ω,Spi):TX𝔰𝔦𝔰𝔬(d,1) (E, \Omega, \Spi) : T X \to \mathfrak{siso}(d,1)

on spacetime with values in the super Poincare Lie algebra. Its components Ψ\Psi in the spin group representation Γ𝔰𝔦𝔰𝔬(d)\Gamma \subset \mathfrak{siso}(d) is the gravitino field.

The name derives from the fact that the other two comonents are identified in gravity with the graviton field.



See also

Classification of long-range forces

Classification of possible long-range forces, hence of scattering processes of massless fields, by classification of suitably factorizing and decaying Poincaré-invariant S-matrices depending on particle spin, leading to uniqueness statements about Maxwell/photon-, Yang-Mills/gluon-, gravity/graviton- and supergravity/gravitino-interactions:


As a dark matter candidate

Discussion of the gravitiono as a dark matter candidate:

A proposal for super-heavy gravitinos as dark matter, by embedding D=4 N=8 supergravity into E10-U-duality-invariant M-theory:

following the proposal towards the end of

  • Murray Gell-Mann, introductory talk at Shelter Island II, 1983 (pdf)

    in: Shelter Island II: Proceedings of the 1983 Shelter Island Conference on Quantum Field Theory and the Fundamental Problems of Physics. MIT Press. pp. 301–343. ISBN 0-262-10031-2.

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