Celestial dual superconformal symmetry, MHV amplitudes and differential equations
Yangrui Hu, Lecheng Ren, Akshay Yelleshpur Srikant, Anastasia Volovich
Abstract
A bstract Celestial and momentum space amplitudes for massless particles are related to each other by a change of basis provided by the Mellin transform. Therefore properties of celestial amplitudes have counterparts in momentum space amplitudes and vice versa. In this paper, we study the celestial avatar of dual superconformal symmetry of $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 Yang-Mills theory. We also analyze various differential equations known to be satisfied by celestial n -point tree-level MHV amplitudes and identify their momentum space origins.
Topics & Concepts
PhysicsCelestial sphereAmplitudeMassless particleMathematical physicsSymmetry (geometry)Space (punctuation)Momentum (technical analysis)Differential (mechanical device)Classical mechanicsQuantum electrodynamicsTheoretical physicsMathematicsQuantum mechanicsAstronomyPhilosophyGeometryEconomicsLinguisticsFinanceThermodynamicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies