nLab
gauged supergravity

Context

Gravity

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Super-Geometry

Contents

Idea

Theories of supergravity always contain a global symmetry called R-symmetry. In some cases this is promoted to a local symmetry, such that there is a gauge field (connection on a bundle) with coefficients in that group. These are called gauged supergravity theories.

Properties

From dimensional reduction

For many cases gauged supergravity theories are obtained by dimensional reduction from 11-dimensional supergravity or type II supergravity, which themselves do not contain a gauge field but higher degree fields (“fluxes”), the supergravity C-field and the B-field respectively. These induce gauged supergravities (e.g. Samtleben 08, figure 1). The gauge groups are the U-duality groups of the compactification (e.g. Samtleben 08, table 1).

Examples

Some examples are discussed at

References

Discussion in the context of the D'Auria-Fré formulation of supergravity is in

Revised on March 24, 2015 14:21:00 by Urs Schreiber (195.113.30.252)