Abstract
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} = 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.
Highlights
Sphere [20,21,22]
We study the celestial avatar of dual superconformal symmetry of N = 4 Yang-Mills theory
Several momentum space amplitudes have been mapped onto the celestial sphere including tree-level gluon amplitudes [6, 25], one-loop amplitudes in scalar [26] and gauge theories [27], all-loop four-point amplitudes [28] and string amplitudes [29]
Summary
These amplitudes can be expanded as polynomials in the Grassmann variables ηi as n−4. The MHV gluon amplitude (with particles s and t having negative helicity and the remaining n − 2 having positive helicity), which we denote by Mn, is contained in (2.3) as the coefficient of (ηs)4(ηt). The MHV gluon amplitude (with particles s and t having negative helicity and the remaining n − 2 having positive helicity), which we denote by Mn, is contained in (2.3) as the coefficient of (ηs)4(ηt)4 Mapping these amplitudes to the celestial sphere requires the following parametrization of momenta pμi = i ωi qμ(zi, zi) i = 1, . We will focus only on the celestial MHV amplitudes for which we can use the expression in (2.3) and (2.5) to write.
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