nLab gauged supergravity





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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.


From dimensional reduction

In 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).

From double and exceptional field theory

Exceptional field theory (but also double field theory) reduces to gauged supergravity under generalized Scherk-Schwarz reduction, i.e. a dimensional reduction combined with U-duality (or just T-duality) twists.

Picture grabbed from Musaev 13


Some examples are discussed at


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 D=5 supergravity 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 (arXiv:hep-th/0203057)

Review of the relation with double field theory and exceptional field theory:

Last revised on January 14, 2024 at 16:33:57. See the history of this page for a list of all contributions to it.