3-dimensional supergravity




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(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).



Lecture notes include

  • F. Ruiz Ruiz, Peter van Nieuwenhuizen, Lectures on Supersymmetry and Supergravity in 2+12+1 Dimensions and regularization of supersymmetric gauge theories (pdf)

A complete list of un-gauged supergravities in 3 dimensions was given in

See also


Discussion of D-branes in 3d supergravity includes

  • Björn Brinne, Svend E. Hjelmeland, Ulf Lindström, World-Volume Locally Supersymmetric Born-Infeld Actions, Phys.Lett. B459 (1999) 507-514 (arXiv:hep-th/9904175)

  • Björn Brinne, 3D supergravity and a spinning D2-brane


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 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 November 13, 2015 04:41:27 by Urs Schreiber (