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 (6)

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 ⓘ
Penrose transform ⓘ
linked to: twistor space

Penrose twistor ⓘ
linked to: twistor space

Penrose twistor theory ⓘ
linked to: twistor space

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 (7)

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

Roger Penrose → developedConcept → twistor space ⓘ
twistor space → relatedTo → Penrose transform ⓘ
linked to: twistor space
twistor space → relatedTo → Penrose twistor theory ⓘ
linked to: twistor space
twistor space → relatedTo → Penrose twistor ⓘ
linked to: twistor space
Hopf fibration → isUsedIn → twistor theory ⓘ
linked to: twistor space
Plebański's heavenly equations → relatedTo → twistor theory ⓘ
linked to: twistor space
Plebański's heavenly equations → connectedTo → Penrose twistor correspondence ⓘ
linked to: twistor space