All loop structures in supergravity amplitudes on AdS5 × S5 from CFT

Agnese Bissi , Giulia Fardelli , Alessandro Georgoudis (1, 2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPENS - Laboratoire de physique de l'ENS - ENS Paris

We compute a set of structures which appear in the four-point function of protected operators of dimension two in super Yang Mills with SU(N) gauge group, at any order in a large N expansion. They are determined only by leading order CFT data. By focusing on a specific limit, we make connection with the dual supergravity amplitude in flat space, where such structures correspond to iterated s-cuts. We make several checks and we conjecture that the same interpretation holds for supergravity amplitudes on AdS5 × S5.

Mots clés: field theory: conformal; supergravity: duality; n-point function: 4; loop integral; scattering amplitude; supersymmetry: 4; gauge field theory: SU(N); expansion 1/N; AdS(5) x S(5)

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Agnese Bissi, Giulia Fardelli, Alessandro Georgoudis. All loop structures in supergravity amplitudes on AdS5 × S5 from CFT. Journal of Physics A: Mathematical and Theoretical, 2021, 54 (32), pp.324002. ⟨10.1088/1751-8121/ac0ebf⟩. ⟨hal-02999525⟩