$p$-Forms on the Celestial Sphere

Abstract

We construct a basis of conformal primary wavefunctions (CPWs) for $p$-form fields in any dimension, calculating their scalar products and exhibiting the change of basis between conventional plane wave and CPW mode expansions. We also perform the analysis of the associated shadow transforms. For each family of $p$-form CPWs, we observe the existence of pure gauge wavefunctions of conformal dimension $\Delta =p$, while shadow $p$-forms of this weight are only pure gauge in the critical spacetime dimension value $D=2p+2$. We then provide a systematic technique to obtain the large-$r$ asymptotic limit near $\mathcal{I}$ based on the method of regions, which naturally takes into account the presence of both ordinary and contact terms on the celestial sphere. In $D=4$, this allows us to reformulate in a conformal primary language the links between scalars and dual two-forms.

arXiv comment56 pages + references

References in corpus (68)

• Asymptotic expansion of Feynman integrals near threshold
• BMS supertranslations and Weinberg's soft graviton theorem
• Projectors, Shadows, and Conformal Blocks
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• More Comments on String Theory on AdS_3
• A holographic reduction of Minkowski space-time
• Lectures on Celestial Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• A 2D Stress Tensor for 4D Gravity
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Conformally Soft Theorem in Gauge Theory
• Duality, Self-Duality, Sources and Charge Quantization in Abelian N-Form Theories
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Subleading soft photons and large gauge transformations
• Celestial Amplitudes from UV to IR
• Magnetic Corrections to the Soft Photon Theorem
• Conformally Soft Theorem In Gravity
• Null Infinity and Unitary Representation of The Poincare Group
• Tree-level gluon amplitudes on the celestial sphere
• Extended BMS Algebra of Celestial CFT
• New dual gravitational charges
• Can scalars have asymptotic symmetries?
• Extended Super BMS Algebra of Celestial CFT
• Double Copy for Celestial Amplitudes
• Shifting Spin on the Celestial Sphere
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• p-Brane Dyons and Electric-magnetic Duality
• Shadows and Soft Exchange in Celestial CFT
• Geometric Soft Theorems
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• On higher-spin supertranslations and superrotations
• Asymptotic charges from soft scalars in even dimensions
• Angular momentum of zero-frequency gravitons
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Tower of subleading dual BMS charges
• Goldilocks Modes and the Three Scattering Bases
• Celestial holography on Kerr-Schild backgrounds
• Celestial double copy from the worldsheet
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Asymptotic Symmetries in $p$-Form Theories
• On asymptotic symmetries in higher dimensions for any spin
• Scalar Asymptotic Charges and Dual Large Gauge Transformations
• Conformal Primary Basis for Dirac Spinors
• Two-Form Asymptotic Symmetries and Scalar Soft Theorems
• The Memory Effect for Particle Scattering in Even Spacetime Dimensions
• Soft Charges and Electric-Magnetic Duality
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Massive Celestial Fermions
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Soft pion theorem, asymptotic symmetry and new memory effect
• Massive Spinning Bosons on the Celestial Sphere
• On electromagnetic and colour memory in even dimensions
• Conformally Soft Fermions
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Magnetic Soft Charges, Dual Supertranslations and 't Hooft Line Dressings
• String Memory Effect
• Topics in Asymptotic Symmetries and Infrared Effects
• A discrete basis for celestial holography
• An Integer Basis for Celestial Amplitudes
• Soft Particles and Infinite-Dimensional Geometry