# 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…