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 in dimension l<11l \lt 11 always contain a global symmetry called R-symmetry (a remnant of the full 11-dimensional supergravity Spin(10,1)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 include

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=8N = 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=8N=8 D=5D=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 September 16, 2016 02:56:30 by Urs Schreiber (95.172.227.10)