# nLab gravitino

Contents

### Context

#### Gravity

gravity, supergravity

supersymmetry

# Contents

## Idea

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

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

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

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

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

## References

### 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:

Review:

### 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.

Last revised on December 18, 2019 at 06:29:48. See the history of this page for a list of all contributions to it.