Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions

By H. Nicolai, H. Samtleben. 2001

175 citations recorded by the source corpus.

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions | especially the on-shell duality between vector and scalar elds, and the purely topological character of (super)gravity | they exhibit aneven richer structure than the gauged supergravities in higher dimensions. The allowed gauge groups are subgroups of the global E8(8) symmetry of ungauged N = 16 supergravity. They include the regular series SO(p;8 p)SO(p;8 p) for all p =0 ; 1;:::;4, the group E8(8) itself, as well as various noncompact forms of the exceptional groups E7;E6and F4 G2. We show that all these theories admit maximally supersymmetric ground states, anddetermine their backgroundisometries, which aresuperextensions oftheanti-de Sitter group SO(2;2). The very existence of these theories is argued to point to a new supergravity beyond the standard D=11supergravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/541776ed326bffa1e540dd421059380f2171dff6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Lectures on gauged supergravity and flux compactifications (2008, methodology): “This framework, first developed in the context of three-dimensional supergravity [11, 12] and further shaped in [13, 14, 15], encodes the possible gaugings in an embedding tensor that describes the embedding of the gauge group into the global symmetry group, can be characterized group-theoretically,”
On Lagrangians and gaugings of maximal supergravities (2002, methodology): “In d = 3 dimensions there is no guidance from Kaluza-Klein compactifications and one must rely on a group-theoretical analysis [10].”
Gauged Supergravities, Tensor Hierarchies, and M-Theory (2008, methodology): “This puzzle was finally resolved in [7, 8] by introducing a set of 248 ‘redundant’ vector fields transforming in the adjoint representation of E8(8); rather than through the standard Yang-Mills kinetic term, these gauge fields appear with a Chern-Simons term in the Lagrangian, ensuring that the numb”
Gauged locally supersymmetric D=3 nonlinear sigma models (2003, methodology): “This provides an efficient way of classifying and constructing solutions to this equation which has been applied to the gaugings of maximal supergravity in [2, 3].”
Exotic Branes in String Theory (2012, background): “ory; in the gauged theory in which (a subgroup) of the U-duality is promoted to a local symmetry, we have both scalars and 1-forms at the same time and the 1-forms cannot Hodge dualized into scalars. [39,40] 6 cannot be interpreted in terms of any of ordinary branes [2{6]. The latter states are call”
E(11) and the Embedding Tensor (2007, background): “This is non-trivial given the fact that the de–form calculation is based upon E11 whereas the calculations of [ 10 , 11, 12] involve supergravity.”