Lectures on twistor theory
read the original abstract
Broadly speaking, twistor theory is a framework for encoding physical information on space-time as geometric data on a complex projective space, known as a twistor space. The relationship between space-time and twistor space is non-local and has some surprising consequences, which we explore in these lectures. Starting with a review of the twistor correspondence for four-dimensional Minkowski space, we describe some of twistor theory's historic successes (e.g., describing free fields and integrable systems) as well as some of its historic shortcomings. We then discuss how in recent years many of these problems have been overcome, with a view to understanding how twistor theory is applied to the study of perturbative QFT today. These lectures were given in 2017 at the XIII Modave Summer School in mathematical physics.
This paper has not been read by Pith yet.
Forward citations
Cited by 7 Pith papers
-
Graviton scattering on self-dual black holes
Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.
-
Classifying double copies and multicopies in AdS
Double copies in 4D AdS gravity are classified one-to-one with orbits of so(2,3) isometry elements via a Penrose-type transform, yielding black holes, branes and other solutions, with extension to multicopies for high...
-
Towards a Carrollian Description of Yang-Mills
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
-
Supersymmetric twists in twistor space and holography
Computes minimal and chiral algebra twists of supersymmetric self-dual Yang-Mills and N=1 supergravity in twistor space, finding localization to spacetime or planes with matching holographic duals.
-
Embedding formalism for anti-de Sitter superspaces
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.
-
Topics in Celestial holography: A bottom-up perspective
Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.
-
Topics in Celestial holography: A bottom-up perspective
A review of symmetries, celestial CFT, twistor theory interplay, and AdS/CFT connections in the bottom-up search for a celestial dual to flat-space quantum gravity.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.