Twistor Theory is formulated on Kähler manifolds, which are complex manifolds equipped with a special metric called the Kähler metric.

The twistor space in Twistor Theory is a complex projective space, which is a space of complex lines in a complex vector space.

The Penrose transform is a mathematical mapping that relates twistors to spacetime points.

The Penrose twistor diagram is a graphical representation of spacetime that allows for a deeper understanding of its structure and properties.

Roger Penrose is the primary architect of Twistor Theory, which he introduced in the 1960s.

In Twistor Theory, elementary particles are described as asymptotic states of twistor fields.

The twistor string is a theoretical construct that aims to unify gravity and quantum mechanics by representing spacetime as a twistor fibration.

Differential geometry plays a central role in Twistor Theory, particularly in understanding the geometry of twistor spaces and their relationship to spacetime.

In Twistor Theory, spacetime is endowed with a conformal structure, which means that angles are preserved under conformal transformations.

Twistor Theory establishes a duality between twistors and spinors, where twistors are seen as a generalization of spinors.

Twistor Theory is primarily associated with the quest for a quantum theory of gravity, aiming to unify general relativity and quantum mechanics.

The twistor correspondence establishes a bijective mapping between spacetime points and twistors, providing a bridge between geometry and physics.

In Twistor Theory, twistors are represented by spinors, which are mathematical objects that generalize vectors and have both a magnitude and a direction.

Twistor Theory provides a framework for investigating causal relationships in spacetime, allowing for a deeper understanding of the structure and dynamics of spacetime.

Kähler geometry is utilized to construct twistor spaces in Twistor Theory, providing a rich mathematical framework for studying the geometry of twistor spaces.