Holographic RG flow from the squashed to the round 𝑆7

We construct and analyze the domain-wall solution in 𝐷 =11 supergravity connecting the 𝒩 =1, AdS4×𝑆7squashed vacuum to the 𝒩 =8, AdS4×𝑆7round vacuum. This domain wall describes the holographic renormalization group flow from an Sp⁡(2) ×Sp⁡(1) symmetric UV fixed point to the SO(8) symmetric IR fixed point. It breaks all supersymmetries which are (partially) restored at its endpoints. We show how recent techniques from exceptional field theory allow us to compute the quadratic couplings of all Kaluza-Klein (KK) fluctuations around the domain wall background, encoding all two-point correlators along the holographic RG flow.