D=3 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).



Lecture notes include

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

See also


Discussion of D-branes in 3d supergravity includes


Topological gauged supergravity in dimension three was first considered in

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

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

with details in

(see also at exceptional generalized geometry).

See also