# Conformal field theories in six-dimensional twistor space

@article{Mason2012ConformalFT, title={Conformal field theories in six-dimensional twistor space}, author={Lionel Mason and Ronald A. Reid-Edwards and Arman Taghavi-Chabert}, journal={Journal of Geometry and Physics}, year={2012}, volume={62}, pages={2353-2375} }

## 45 Citations

### On Twistors and Conformal Field Theories from Six Dimensions

- Mathematics
- 2011

We discuss chiral zero-rest-mass field equations on six-dimensional space-time from a twistorial point of view. Specifically, we present a detailed cohomological analysis, develop both Penrose and…

### Twistor methods for AdS 5

- Mathematics
- 2016

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS5 is the same as the ambitwistor space of the fourdimensional conformal boundary; the…

### Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space

- Mathematics
- 2014

We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet. In particular, we show how principal 3-bundles over a suitable twistor space…

### Twistor actions for gauge theory and gravity

- Physics
- 2013

This is a review of recent developments in the study of perturbative gauge theory and gravity using action functionals on twistor space. It is intended to provide a user-friendly introduction to…

### Ambitwistor strings in six and five dimensions

- Mathematics
- 2021

Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5…

### Spinor description of D = 5 massless low-spin gauge fields

- Physics
- 2015

Spinor description for the curvatures of D = 5 Yang–Mills, Rarita–Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and…

### Two-Component Spinorial Formalism Using Quaternions for Six-Dimensional Spacetimes

- MathematicsAdvances in Applied Clifford Algebras
- 2021

In this article we construct and discuss several aspects of the two-component spinorial formalism for six-dimensional spacetimes, in which chiral spinors are represented by objects with two…

### Twistor methods for AdS5

- Mathematics
- 2016

A bstractWe consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS5 is the same as the ambitwistor space of the four-dimensional conformal…

### Non-Abelian Tensor Multiplet Equations from Twistor Space

- Mathematics
- 2014

We establish a Penrose–Ward transform yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time.…

## References

SHOWING 1-10 OF 67 REFERENCES

### On Twistors and Conformal Field Theories from Six Dimensions

- Mathematics
- 2011

We discuss chiral zero-rest-mass field equations on six-dimensional space-time from a twistorial point of view. Specifically, we present a detailed cohomological analysis, develop both Penrose and…

### Covariant representation theory of the Poincaré algebra and some of its extensions

- Physics
- 2010

There has been substantial calculational progress in the last few years for gauge theory amplitudes which involve massless four dimensional particles. One of the central ingredients in this has been…

### Geometrical aspects of spinor and twistor analysis

- Mathematics
- 1995

This work is concerned with two examples of the interactions between differential
geometry and analysis, both related to spinors. The first example is the Dirac operator
on conformal spin manifolds…

### The generalized Penrose-Ward transform

- MathematicsMathematical Proceedings of the Cambridge Philosophical Society
- 1985

The Penrose transform is an integral geometric method of interpreting elements of various analytic cohomology groups on open subsets of complex projective 3-space as solutions of linear differential…

### Conformal gravity, the Einstein equations and spaces of complex null geodesics

- Mathematics
- 1987

The aim of this work is to give a twistorial characterisation of the field equations of conformal gravity and of Einstein spacetimes. The authors provide strong evidence for a particularly concise…

### Cohomology and massless fields

- Mathematics
- 1981

The geometry of twistors was first introduced in Penrose [28]. Since that time it has played a significant role in solutions of various problems in mathemetical physics of both a linear and nonlinear…

### Maximally helicity-violating diagrams in twistor space and the twistor action

- Physics
- 2012

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on…

### MHV diagrams in twistor space and the twistor action

- Physics
- 2011

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on…

### Higher-dimensional twistor transforms using pure spinors

- Mathematics
- 2004

Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even…