Supergluon scattering in AdS: constructibility, spinning amplitudes, and new structures

A bstract We elaborate on a new recursive method proposed in [1] for computing tree-level n -point supergluon amplitudes as well as those with one gluon, i.e. spinning amplitudes, in AdS 5 × S 3 . We present an improved proof for the so-called “constructibility” of supergluon and spinning amplitudes based on their factorizations and flat-space limit, which allows us to determine these amplitudes in Mellin space to all n . We present explicit and remarkably simple expressions for up to n = 7 supergluon amplitudes and n = 6 spinning amplitudes, which can be viewed as AdS generalizations of the scalar-scaffolded gluon amplitudes proposed recently. We then reveal a series of hidden structures of these AdS amplitudes including (1). an understanding of general pole structures especially the precise truncation on descendent poles (2). a derivation of simple “Feynman rules” for the all- n amplitudes with the simplest R-symmetry structures, and (3). certain universal behavior analogous to the soft/collinear limit of flat-space amplitudes.