# nLab gravitino

### Context

#### Gravity

gravity, supergravity

superalgebra

and

supergeometry

# 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

Discussion of the gravitiono as a dark matter candidate is in

Revised on June 12, 2014 12:54:27 by Urs Schreiber (82.136.246.44)