Extended Super BMS Algebra of Celestial CFT

Abstract

We study two-dimensional celestial conformal field theory describing four-dimensional $\mathcal{N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct fermionic conformal primary wave functions and show how they are related via supersymmetry to their bosonic partners. We use soft and collinear theorems of supersymmetric Einstein-Yang-Mills theory to derive the OPEs of the operators associated to massless particles. The bosonic and fermionic soft theorems are shown to form a sequence under supersymmetric Ward identities. In analogy with the energy momentum tensor, the supercurrents are shadow transforms of soft gravitino operators and generate an infinite-dimensional supersymmetry algebra. The algebra of ${\mathfrak{sbms}}_4$ generators agrees with the expectations based on earlier work on the asymptotic symmetry group of supergravity. We also show that the supertranslation operator can be written as a product of holomorphic and anti-holomorphic supercurrents.

44 pages. v2: subsec. 7.4 added, typos fixed

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Cited by in corpus (51)

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• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
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• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Conformal Blocks from Celestial Gluon Amplitudes
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
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• Loops on the Celestial Sphere
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• Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and EFTs
• Ambidextrous light transforms for celestial amplitudes
• Celestial holography on Kerr-Schild backgrounds
• Conformal Primary Basis for Dirac Spinors
• Relativistic partial waves for celestial amplitudes
• Descendants in celestial CFT and emergent multi-collinear factorization
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• From Celestial Correlators to AdS, and back
• Massive Celestial Fermions
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• Celestial Holography: Lectures on Asymptotic Symmetries
• The structure of IR divergences in celestial gluon amplitudes
• Celestial Superamplitudes
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Conformally Soft Fermions
• The (super)conformal BMS${}_3$ algebra
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial Supersymmetry
• Celestial Recursion
• Symmetries in Celestial CFT${}_d$
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
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• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
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• Detector Operators for Celestial Symmetries
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• The Grassmannian for Celestial Superamplitudes
• Supersymmetrization of deformed BMS algebras
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• $p$-Forms on the Celestial Sphere
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
• Celestial IR divergences and the effective action of supertranslation modes
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• On the geometric approach to the boundary problem in supergravity
• Carrollian superconformal theories and super BMS