# nLab gauged supergravity

### Context

#### Gravity

gravity, supergravity

## Spacetimes

black hole spacetimesvanishing angular momentumpositive angular momentum
vanishing chargeSchwarzschild spacetimeKerr spacetime
positive chargeReissner-Nordstrom spacetimeKerr-Newman spacetime

supersymmetry

# 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

Review includes

Discussion of the origin in KK-compactification of 11-dimensional supergravity/M-theory is in

Maximally gauged 4d supergravity was first discussed in

and gauged 5d supergravity in

• M. Günaydin, L.J. Romans and N.P. Warner, Gauged $N = 8$ Supergravity in Five Dimensions, Phys. Lett. 154B, (1985) 268; Compact and Non–Compact Gauged Supergravity Theories in Five Dimensions, Nucl. Phys. B272 (1986) 598

• M. Pernici, K. Pilch, Peter van Nieuwenhuizen, Gauged $N=8$ $D=5$ Supergravity, Nucl.Phys. B259 (1985) 460 (spire)

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 (arXiv:hep-th/0203057)

Revised on October 12, 2016 04:10:25 by Urs Schreiber (89.15.237.124)