nLab gauged supergravity

Context

Gravity

gravity, supergravity

superalgebra

and

supergeometry

Contents

Idea

Theories of supergravity in dimension $l \lt 11$ always contain a global symmetry called R-symmetry (a remnant of the full 11-dimensional supergravity $Spin(10,1)$-symmetry after KK-compactification). 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

Reviews include

Maximally gauged 4d supergravity was first discussed in

Discussion in the context of flux compactification of type II superstring theory includes

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

Discussion related to orbifold singularities includes

• Richard Corrado, Murat Gunaydin, Nicholas P. Warner, Marco Zagermann, Orbifolds and Flows from Gauged Supergravity, Phys.Rev.D65:125024,2002 (arXoiv:hep-th/0203057)

Revised on August 5, 2015 16:39:52 by Urs Schreiber (147.231.89.193)