Consistent truncations from the geometry of sphere bundles

• DOI: 10.48550/arxiv.2212.08068
• Publication Date: 2022-01-01
• Authors: F Bonetti; Ruben Minasian; Valentí Vall Camell; Peter Weck
• Keywords: Ansatz; Coset; Isometry (Riemannian geometry); Dimensional reduction

In this paper, we present a unified perspective on sphere consistent truncations based the classical geometric properties of bundles. The backbone our approach is global angular form for sphere. A universal formula Kaluza-Klein ansatz flux threading $n$-sphere captures full nonabelian isometry group $SO(n+1)$ and scalar deformations associated to coset $SL(n+1,\mathbb R)/SO(n+1)$. all cases, scalars enter in shift by an exact form. We find that latter can be completely fixed imposing mild conditions, motivated supersymmetry, potential arising from dimensional reduction higher theory. comment role derivation topological couplings lower-dimensional theory, how could provide inroads into study with less supersymmetry.