AdS in Warped Spacetimes

TL;DR

The paper constructs a broad family of AdS spacetimes warped by internal manifolds in $D=11$ and type II supergravities as near-horizon limits of semi-localised multi-brane intersections. By describing larger spheres or AdS spaces as foliations involving $S^3$ or $AdS_3$ and replacing these with lens spaces or BTZ black holes through Taub-NUTs or pp-waves, it then generates multi-intersections via Kaluza-Klein reduction or Hopf T-duality. These warped backgrounds expand the landscape of AdS/CFT examples and provide new, consistent embeddings of lower-dimensional gauged supergravities in higher dimensions. The warp factors, depending only on internal coordinates, enable robust consistent truncations and broaden the scope for holographic dualities in various dimensions.

Abstract

We obtain a large class of AdS spacetimes warped with certain internal spaces in eleven-dimensional and type IIA/IIB supergravities. The warp factors depend only on the internal coordinates. These solutions arise as the near-horizon geometries of more general semi-localised multi-intersections of $p$-branes. We achieve this by noting that any sphere (or AdS spacetime) of dimension greater than 3 can be viewed as a foliation involving S^3 (or AdS_3). Then the S^3 (or AdS_3) can be replaced by a three-dimensional lens space (or a BTZ black hole), which arises naturally from the introduction of a NUT (or a pp-wave) to the M-branes or the D3-brane. We then obtain multi-intersections by performing a Kaluza-Klein reduction or Hopf T-duality transformation on the fibre coordinate of the lens space (or the BTZ black hole). These geometries provide further possible examples of the AdS/CFT correspondence and of consistent embeddings of lower-dimensional gauged supergravities in D=11 or D=10.