twistor space

E340277

Twistor space is a geometric framework in mathematical physics that reformulates spacetime and field theories using complex geometry, introduced by Roger Penrose to study fundamental physics and gravitation.

All labels observed (4)

Label Occurrences
Penrose transform 1
Penrose twistor 1
Penrose twistor theory 1

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf concept in mathematical physics
construction in complex geometry
geometric framework
mathematical structure
appliesTo conformally compactified Minkowski space
four-dimensional spacetime
coreIdea encode spacetime points as geometric objects in a complex manifold
replace spacetime description with complex analytic description
dimension three complex dimensions in the flat case
encodes light rays in spacetime
null directions
solutions of massless field equations
field complex geometry
differential geometry
general relativity
mathematical physics
quantum field theory
string theory
goal unify quantum theory and gravity at the level of geometry
hasGeneralization ambitwistor space
curved twistor space
supertwistor space
inception 1960s
influenced modern amplitude methods
on-shell scattering formalisms
introducedBy Roger Penrose
mathematicalNature complex manifold
projective variety
purpose reformulate field theories
reformulate spacetime
study fundamental physics
study gravitation
relatedTo Minkowski space-time
surface form: Minkowski space

twistor space self-linksurface differs
surface form: Penrose transform

twistor space self-linksurface differs
surface form: Penrose twistor

twistor space self-linksurface differs
surface form: Penrose twistor theory

Ward correspondence
conformal geometry
integrable systems
massless fields
null geodesics
scattering amplitudes
self-dual Yang–Mills equations
self-dual gravity
twistor string theory
uses complex geometry
holomorphic methods
projective geometry

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Roger Penrose developedConcept twistor space
twistor space relatedTo twistor space self-linksurface differs
this entity surface form: Penrose transform
twistor space relatedTo twistor space self-linksurface differs
this entity surface form: Penrose twistor theory
twistor space relatedTo twistor space self-linksurface differs
this entity surface form: Penrose twistor