Gauged N=4 supergravities

By J. Schon, Martin P. Weidner. 2006

256 citations recorded by the source corpus.

We present the gauged N = 4 (half-maximal) supergravities in four and five spacetime dimensions coupled to an arbitrary number of vector multiplets. The gaugings are parameterized by a set of appropriately constrained constant tensors, which transform covariantly under the global symmetry groups SL(2) × SO(6,n) and SO(1,1) × SO(5,n), respectively. In terms of these tensors the universal Lagrangian and the Killing Spinor equations are given. The known gaugings, in particular those originating from flux compactifications, are incorporated in the formulation, but also new classes of gaugings are found. Finally, we present the embedding chain of the five dimensional into the four dimensional into the three dimensional gaugings, thereby showing how the deformation parameters organize under the respectively larger duality groups.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ed713cf2df612906f5f39380ff3861506b5e6467

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 Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

The maximal D = 4 supergravities (2007, methodology): “ations, was worked out in [9]. The same strategy has been applied to maximal supergravity in various space-time dimensions [10, 11, 12, 13], as well as to theories with a lower number of supercharges [14, 15]. In this paper we present a complete analysis of all gaugings of maximally supersymmetric f”
Gauged Supergravities. (2016, methodology): “A systematic analysis of the most general gauging, using the embedding tensor formalism, was performed in [272].”
Gauged double field theory (2012, background): “6) is written in the form of gauged half-maximal supergravity [21], it differs from the latter by the following term in the Lagrangian − e 1 6 fABCf ABC .”
The effective action of double field theory (2011, methodology): “Instead of dualizing the B-field into the axion of [42], one must integrate the A μ fields out and use the local gauge invariance under (axionic) rescaling shifts to gauge away the axion Imτ = 0.”
Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions (2010, background): “ve supermultiplet containing the breathing mode. We will show that the reduction is consistent with D = 5 N = 4 gauged supergravity coupled to two vector multiplets with a gauging as described in [15][16]. To understand this matter content, and the origin of the increased supersymmetry, we now view,”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, background): “The embedding tensor of the half-maximal gauged supergravity [42, 8] is a threeform XABC where A = 1, .”
Double field theory: a pedagogical review (2013, background): “We show that the resulting effective action corresponds to the electric bosonic sector of half-maximal gauged supergravity [79] containing all duality orbits of electric fluxes, including the non-geometric ones [67].”
Lectures on gauged supergravity and flux compactifications (2008, background): “l supergravities are collected in table 3. For the half-maximal theories, the structure is very similar, however the embedding tensor generically contains several dierent irreducible parts, see e.g. [46, 47, 48, 49]. As we have already mentioned above, the linear representation constraint follows fr”
Double Field Theory and N=4 Gauged Supergravity (2011, methodology): “The only representations that survive the constraints on the embedding tensor are a product of a fundamentals of SL(2,R) and SO(6, 6), ξαA with α = (+,−), and a fundamental of SL(2,R) times an SO(6, 6) three index antisymmetric tensor, fαABC [31, 32].”
Exploring double field theory (2013, background): “• the quadratic constraints of half-maximal supergravity [63]”
Gauged Supergravities, Tensor Hierarchies, and M-Theory (2008, background): “is only a symmetry of the equations of motion, but not of the Lagrangian). In particular, it can be shown that the known examples of gauged supergravities (including more recent constructions such as [19, 20, 21, 22, 23, 24, 25, 26, 27, 28]) can all be accommodated within the systematic approach bas”
Duality orbits of non‐geometric fluxes (2012, background): “In particular, in the context of half-maximal [1] and maximal [2] gauged supergravities, not only does supersymmetry tightly organise the ungauged theory, but also it strictly determines the set of possible deformations (i.”
Double field theory formulation of heterotic strings (2011, background): “, the structure in the second line is precisely analogous to the scalar potential appearing for Kaluza-Klein reduction on group manifolds [25] and, for instance, in N = 4 gauged supergravity in D = 4 [26].2 We next verify that this action evaluated for (3.1) and ∂˜i = ∂ α = 0 gives rise to the requi”
Double field theory and $ \mathcal{N} = {4} $ gauged supergravity (2011, methodology): “e constraints on the embedding tensor are a product of a fundamentals of SL(2,R) and SO(6,6), ξαA with α = (+,−), and a fundamental of SL(2,R) times an SO(6,6) three index antisymmetric tensor, fαABC [31, 32]. Electric gaugings corresponds to vanishing f−ABC and ξ−A and in this special 3 case the cl”