Soft algebras for leaf amplitudes
Walker Melton, Atul Sharma, Andrew Strominger
Abstract
A bstract Celestial MHV amplitudes are comprised of non-distributional leaf amplitudes associated to an AdS 3 leaf of a foliation of flat spacetime. It is shown here that the leaf amplitudes are governed by the same infinite-dimensional soft ‘ S -algebra’ as their celestial counterparts. Moreover, taking the soft limit of the smooth three-point MHV leaf amplitude yields a nondegenerate minus-minus two-point leaf amplitude. The two- and three-point MHV leaf amplitudes are used to compute the plus-minus-minus leaf operator product coefficients.
Topics & Concepts
AmplitudeMathematicsEnvironmental sciencePhysicsOpticsAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsPolynomial and algebraic computation