Lectures on Celestial Amplitudes

Abstract

Lecture notes prepared for the 2021 SAGEX PhD School in Amplitudes hosted by the University of Copenhagen August 10th through 13th. Topics covered include: the manifestation of asymptotic symmetries via soft theorems, their organization into currents in a celestial CFT, aspects of the holographic dictionary, a literature guide, and accompanying exercises.

References in corpus (96)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Soft Hair on Black Holes
• On BMS Invariance of Gravitational Scattering
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• BMS charge algebra
• New Symmetries of Massless QED
• Projectors, Shadows, and Conformal Blocks
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Asymptotic Symmetries of Yang-Mills Theory
• Superrotation Charge and Supertranslation Hair on Black Holes
• A Conformal Basis for Flat Space Amplitudes
• New Gravitational Memories
• Supertranslations and Superrotations at the Black Hole Horizon
• A holographic reduction of Minkowski space-time
• Evidence for a New Soft Graviton Theorem
• New symmetries for the Gravitational S-matrix
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• An electromagnetic analog of gravitational wave memory
• Extended Symmetries at the Black Hole Horizon
• Infrared Divergences in QED, Revisited
• Black Hole Entropy and Soft Hair
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Symmetries of Celestial Amplitudes
• Shaving off Black Hole Soft Hair
• Recursion Relations for Conformal Blocks
• Sub-subleading soft gravitons and large diffeomorphisms
• Subleading soft photons and large gauge transformations
• Scattering Amplitudes
• Spin memory effect for compact binaries in the post-Newtonian approximation
• Conformally Soft Theorem In Gravity
• Null Infinity and Unitary Representation of The Poincare Group
• Strings on Celestial Sphere
• Soft Hair as a Soft Wig
• Sub-subleading soft gravitons: New symmetries of quantum gravity?
• Asymptotic Symmetries and Electromagnetic Memory
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• Extended BMS Algebra of Celestial CFT
• Can scalars have asymptotic symmetries?
• Color Memory
• The Information Paradox for Black Holes
• BMS Symmetry of Celestial OPE
• Black hole memory effect
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Extended Super BMS Algebra of Celestial CFT
• Soft Factorization in QED from 2D Kac-Moody Symmetry
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Uplifting AdS3/CFT2 to Flat Space Holography
• Double Copy for Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• A short review on Noether's theorems, gauge symmetries and boundary terms
• Shifting Spin on the Celestial Sphere
• Superrotations and Black Hole Pair Creation
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• The Soft $\mathcal{S}$-Matrix in Gravity
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• Primary Fields in Celestial CFT
• Lectures on Celestial Holography
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Electromagnetic Memory
• Celestial Current Algebra from Low's Subleading Soft Theorem
• Conformal properties of soft-operators - 1 : Use of null-states
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Conformal properties of soft operators -- 2 : Use of null-states
• Conformal Primary Basis for Dirac Spinors
• The Effective Action of Superrotation Modes
• Relativistic partial waves for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Black Hole Memory
• Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity
• A Course in Amplitudes
• Conservation of asymptotic charges from past to future null infinity: Maxwell fields
• On Sugawara construction on Celestial Sphere
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• Massive Spinning Bosons on the Celestial Sphere
• HPS meets AMPS: How Soft Hair Dissolves the Firewall
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• Implications of Superrotations
• Celestial Superamplitudes
• Kerr-Newman Black Hole Entropy and Soft Hair
• Asymptotic Fermionic Symmetry From Soft Gravitino Theorem
• From the Lorentz Group to the Celestial Sphere
• w(1+infinity) and the Celestial Sphere
• Large gauge transformation and little group for soft photons

Cited by in corpus (65)

• Scattering Amplitudes: Celestial and Carrollian
• Bridging Carrollian and Celestial Holography
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Magic Fermions: Carroll and Flat Bands
• Conformal Carroll Scalars with Boosts
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Gravity from symmetry: Duality and impulsive waves
• A BMS-invariant free scalar model
• Celestial chiral algebras, colour-kinematics duality and integrability
• Celestial Amplitudes as AdS-Witten Diagrams
• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Elements of Celestial Conformal Field Theory
• Amplitudes meet Cosmology: A (Scalar) Primer
• Goldilocks Modes and the Three Scattering Bases
• Carroll covariant scalar fields in two dimensions
• Boosting to BMS
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Celestial Liouville Theory for Yang-Mills Amplitudes
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• A note on the representations of $\text{SO}(1,d+1)$
• Carroll fermions in two dimensions
• From Celestial Correlators to AdS, and back
• Loop-level gluon OPEs in celestial holography
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• Charge and Antipodal Matching across Spatial Infinity
• Ambiguity resolution for integrable gravitational charges
• Celestial Holography: Lectures on Asymptotic Symmetries
• Symmetry group at future null infinity I: Scalar theory
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Celestial Locality and the Jacobi Identity
• Matrix Quantization of Gravitational Edge Modes
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• A BMS-invariant free fermion model
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• Shadow Celestial Amplitude
• Towards higher-spin holography in flat space
• Celestial Conformal Colliders
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Toward A Supersymmetric $w_{1+\infty }$ Symmetry in the Celestial Conformal Field Theory
• Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions
• Celestial insights into the S-matrix bootstrap
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Chaos in Celestial CFT
• Carrollian Yang-Mills Theory
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• A Matrix Model for Flat Space Quantum Gravity
• A Solvable Model of Flat Space Holography
• Light transformed gluon correlators in CCFT
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• Deformed $w_{1+\infty }$ Algebras in the Celestial CFT
• $p$-Forms on the Celestial Sphere
• $T\bar{T}$ deformed soft theorem
• Asymptotic symmetries and soft charges of fractons
• Stress tensors of 3d Carroll CFTs
• Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
• Celestial Klein Spaces
• Mapping SYK to the Sky
• Celestial OPE blocks
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Notes on self-dual gravity
• Entanglement Rényi entropies in celestial holography
• A Note on the Analytic Structure of Celestial Amplitudes