Towards all loop supergravity amplitudes on AdS5×S5

Agnese Bissi (1) , Giulia Fardelli (1) , Alessandro Georgoudis (2, 3)

1 Uppsala University
2 Champs, Gravitation et Cordes
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681

We study the four-point function of the superconformal primary of the stress-tensor multiplet in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory, at strong coupling and in a large-$N$ expansion. This observable is holographically dual to a four-graviton amplitude in type IIB supergravity on ${\mathrm{AdS}}_5\times S^5$. We construct the maximal transcendental weight piece of the correlator at order $N^{-6}$ and compare it with the flat-space limit of the corresponding two-loop amplitude. This allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.

Mots clés: n-point function: 4; dimension: 4; duality: holography; tensor: energy-momentum; correlation function; AdS(5) x S(5); supergravity; supersymmetry; gravitation; multiplet; conformal; expansion 1/N; graviton

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

Agnese Bissi, Giulia Fardelli, Alessandro Georgoudis. Towards all loop supergravity amplitudes on AdS5×S5. Physical Review D, 2021, 104 (4), pp.L041901. ⟨10.1103/PhysRevD.104.L041901⟩. ⟨hal-02497814⟩