Twistor Sigma Models : Gravity, Amplitudes, and Flat Space Holography

✍ Scribed by Atul Sharma

• Publisher: Springer Nature Switzerland
• Year: 2024
• Tongue: English
• Leaves: 137
• Category: Library

✦ Table of Contents

Supervisor’s Foreword
Abstract
Acknowledgements
=0mmPublications related to this thesis
Contents
1 Introduction
1.1 Dualities in the Real World
1.2 Thesis Summary
1.3 Further Reading
References
2 Twistors for Flat Space
2.1 Twistor Correspondence
2.2 Euclidean Twistor Theory
2.3 Penrose Transform for Linear Fields
References
3 Sigma Models and Hyperkähler Geometry
3.1 Self-duality and Hyperkähler Manifolds
3.2 The Non-linear Graviton
3.3 Twistor Sigma Models
References
4 Generalizations
4.1 Sigma Models from Symplectic Potentials
4.2 Higher Dimensions and Heavenly Equations
4.3 Turning on a Cosmological Constant
References
5 Graviton Scattering in Flat Space
5.1 MHV Generating Functional
5.2 Uplift to Twistor Space
5.3 MHV Amplitudes from Sigma Model
References
6 w Subscript 1 plus normal infinityw1+infty and Celestial Holography
6.1 Symmetries of Celestial CFT
6.2 Symmetries of Self-dual GR
6.3 From Twistorial to Celestial w Subscript 1 plus normal infinityw1+infty
References
7 Twistors for SD Radiative Space-Times
7.1 SD Radiative Space-Times
7.2 Twistors from Heaven
7.3 Gravitational Perturbations
References
8 Graviton Scattering in SD Radiative Space-Times
8.1 Background-Coupled Sigma Models
8.2 MHV Amplitudes
8.3 Consistency Checks
References
9 Outlook
References