3-dimensional supergravity




physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics




(gauged) supergravity in dimension 3.


Possible gaugings

The (U-duality-)global gauge group of maximally supersymmetric 3d supergravity is E8 (its split real form E 8(8)E_{8(8)}). Various subgroups of this may be promoted to local gauge groups (with gauge fields in gauged supergravity), which may be obtained via (fluxed) KK-compactification of 11-dimensional supergravity. However, 3d supergravity also admits a maximal gauging where all of E 8(8)E_{8(8)} is promoted to a local gauge group (Nicolai-Samtleben 00, Nicolai-Samtleben 01, table 1)). This maximal gauging in 3d supergravity is not obtained by reduction from standard 11-dimensional supergravity, see the remarks in (Nicolai-Samtleben 01, section 7) and see the followup (Hohm-Samtleben 13). In (de Wit-Nicolai 13, section 13) it is suggested that the seemingly missing degrees of freedom necessary to accomplish for U-duality-gauge enhancement after reduction may be sitting in a non-perturvative dual of the graviton (dual graviton).


Topological gauged supergravity in dimension three was first considered in

  • A. Achúcarro and Paul Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories, Phys. Lett. B180 (1986) 89

Gauged supergravity via KK-compactification of 11-dimensional supergravity on an 8-torus and with global E8 U-duality and local SO(16)SO(16) gauge field was discussed in

  • Bernard Julia, Application of supergravity to gravitation theories, in Unified field theories in more than 4 dimensions (V. D. Sabbata and E. Schmutzer, eds.), (Singapore), pp. 215–236, World Scientific, 1983.

  • N. Marcus, John Schwarz, Three-dimensional supergravity theories, Nucl. Phys. B228 (1983) 145.

The complete list of un-gauged supergravituies in 3 dimensions was given in

The maximally supersymmetric gauged 3d supergravitites (and their exceptional gaugings) are listed in

with details in

(see also at exceptional generalized geometry).

See also

  • Hitoshi Nishino, Subhash Rajpoot, Topologican Gauging of N=16 Supergravity in Three-Dimensions, Phys.Rev. D67 (2003) 025009 (arXiv:hep-th/0209106)

  • Eoin Ó Colgáin, Henning Samtleben, 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications, JHEP 1102:031,2011 (arXiv:1012.2145)

  • Edi Gava, Parinya Karndumri, K. S. Narain, 3D gauged supergravity from SU(2) reduction of N=1 6D supergravity, JHEP 09 (2010) 028 (arXiv:1006.4997)

Revised on May 24, 2014 05:09:52 by Urs Schreiber (