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An integer basis for celestial amplitudes

Jordan Cotler, Noah Miller, Andrew Strominger

2023Journal of High Energy Physics31 citationsDOIOpen Access PDF

Abstract

A bstract We present a discrete basis of solutions of the massless Klein-Gordon equation in 3 + 1 Minkowski space which transform as 𝔰𝔩(2, β„‚) Lorentz/conformal primaries and descendants, and whose elements all have integer conformal dimension. We show that the basis is complete in the sense that the Wightman function can be expressed as a quadratic sum over the basis elements.

Topics & Concepts

PhysicsBasis (linear algebra)Minkowski spaceMathematical physicsInteger (computer science)Conformal mapDimension (graph theory)Massless particleLorentz transformationQuadratic equationSupersymmetryTheoretical physicsMathematical analysisPure mathematicsQuantum mechanicsMathematicsGeometryProgramming languageComputer scienceBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories
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