Symmetries and compactifications of (4,0) conformal gravity
@article{Hull2000SymmetriesAC, title={Symmetries and compactifications of (4,0) conformal gravity}, author={Christopher M. Hull}, journal={Journal of High Energy Physics}, year={2000}, volume={2000}, pages={007-007} }
The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an SL(2,) duality symmetry that acts non-trivially on the linearised gravity sector, interchanging the linearised Einstein equations and Bianchi identities and giving a self-duality between strong and weak coupling regimes. The possibility of this extending to an interacting form of the theory is discussed and implications for the non…
70 Citations
Gravity, duality and conformal symmetry
- PhysicsProceedings of the Royal Society A
- 2022
The (4,0) supermultiplet in six dimensions contains a fourth-rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction…
Supersymmetric action for 6D (4, 0) supergravity
- PhysicsJournal of High Energy Physics
- 2022
We give a linearized but otherwise complete supersymmetric action for N $$ \mathcal{N} $$ = (4 , 0) supergravity in six dimensions, using a Kaluza-Klein-type 5 + 1 split of coordinates and fields. We…
Superspace formulation of exotic supergravities in six dimensions
- PhysicsJournal of High Energy Physics
- 2021
We provide a linearised superfield description of the exotic non-metric N = (4, 0) supergravity in D = 6, by using a pure spinor superfield formalism. The basic field Ψ is a ghost number 2 scalar,…
The action of the (free) theory in six spacetime dimensions
- PhysicsJournal of High Energy Physics
- 2018
A bstractThe action of the free theory in six spacetime dimensions is explicitly constructed. The variables of the variational principle are prepotentials adapted to the self-duality conditions on…
Off-shell Hodge dualities in linearised gravity and E11
- MathematicsJournal of High Energy Physics
- 2012
In a spacetime of dimension n, the dual graviton is characterised by a Young diagram with two columns, the first of length n − 3 and the second of length one. In this paper we perform the off-shell…
The supersymmetric Penrose transform in six dimensions
- Mathematics
- 2012
We give a supersymmetric extension to the six-dimensional Penrose transform and give an integral formula for the on-shell (0, 2) supermultiplet. The relationship between super fields on space-time…
Toward exotic 6D supergravities
- Physics
- 2020
We investigate exotic supergravity theories in 6D with maximal (4,0) and (3,1) supersymmetry, which were conjectured by C. Hull to exist and to describe strong coupling limits of ${\cal N}=8$…
The action of the (free) (4, 0)-theory
- Physics
- 2017
A bstractThe (4, 0) theory in six dimensions is an exotic theory of supergravity that has been argued to emerge as the strong coupling limit of theories having N = 8 supergravity as their low energy…
The OSP(2, 2|16) superconformal theory is free
- PhysicsJournal of High Energy Physics
- 2012
The SuperConformal theory in three space-time dimensions with SO(16) R-symmetry, 128 bosons and 128 fermions cannot sustain interactions. This result is obtained using both light-cone superspace…
The OSP(2, 2|16) superconformal theory is free
- Physics
- 2012
A bstractThe SuperConformal theory in three space-time dimensions with SO(16) R-symmetry, 128 bosons and 128 fermions cannot sustain interactions. This result is obtained using both light-cone…