Editing Supergravity (section)

== Higher-dimensional SUGRA ==
{{Main|Higher-dimensional supergravity}}
Higher-dimensional SUGRA is the higher-dimensional, supersymmetric generalization of general relativity. Supergravity can be formulated in any number of dimensions up to eleven. Higher-dimensional SUGRA focuses upon supergravity in greater than four dimensions.

The number of supercharges in a [[spinor]] depends on the dimension and the signature of spacetime. The supercharges occur in spinors. Thus the limit on the number of supercharges cannot be satisfied in a spacetime of arbitrary dimension. Some theoretical examples in which this is satisfied are:

* 12-dimensional two-time theory
* [[Eleven-dimensional supergravity|11-dimensional maximal supergravity]]
* 10-dimensional supergravity theories
** [[Type IIA supergravity]]: N = (1, 1)
** [[Type IIB supergravity]]: N = (2, 0)
** [[Type I supergravity]]: N = (1, 0)
* 9d supergravity theories
** Maximal 9d supergravity from 10d
** T-duality
** N = 1 Gauged supergravity 

The supergravity theories that have attracted the most interest contain no spins higher than two. This means, in particular, that they do not contain any fields that transform as symmetric tensors of rank higher than two under Lorentz transformations. The consistency of interacting higher spin field theories is, however, presently a field of very active interest.