# nLab gravitino

Contents

### Context

#### Gravity

gravity, supergravity

supersymmetry

## Applications

#### Fields and quanta

fields and particles in particle physics

and in the standard model of particle physics:

force field gauge bosons

scalar bosons

flavors of fundamental fermions in the
standard model of particle physics:
generation of fermions1st generation2nd generation3d generation
quarks ($q$)
up-typeup quark ($u$)charm quark ($c$)top quark ($t$)
down-typedown quark ($d$)strange quark ($s$)bottom quark ($b$)
leptons
chargedelectronmuontauon
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonslight mesons:
pion ($u d$)
ρ-meson ($u d$)
ω-meson ($u d$)
f1-meson
a1-meson
strange-mesons:
ϕ-meson ($s \bar s$),
kaon, K*-meson ($u s$, $d s$)
eta-meson ($u u + d d + s s$)

charmed heavy mesons:
D-meson ($u c$, $d c$, $s c$)
J/ψ-meson ($c \bar c$)
bottom heavy mesons:
B-meson ($q b$)
ϒ-meson ($b \bar b$)
baryonsnucleons:
proton $(u u d)$
neutron $(u d d)$

(also: antiparticles)

effective particles

hadrons (bound states of the above quarks)

solitons

in grand unified theory

minimally extended supersymmetric standard model

superpartners

bosinos:

dark matter candidates

Exotica

auxiliary fields

# 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 components 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 gravitino 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.

Further duscussion:

Last revised on January 7, 2021 at 12:03:15. See the history of this page for a list of all contributions to it.