AdS spacetime in warped spacetimes
AdS spacetime in warped spacetimes
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扭曲时空中的 AdS 时空
DOI：
10.1103/physrevd.62.122003
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发表时间：
2000
影响因子：
5
通讯作者：
J. Vázquez
中科院分区：
文献类型：
--
作者：
M. Cvetič;Hong Lu;C. Pope;J. Vázquez
We obtain a large class of AdS spacetimes warped with certain internal spaces in 11-dimensional and type IIA or IIB supergravities. The warp factors depend only on the internal coordinates. These solutions arise as the near-horizon geometries of more general semilocalized 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 ${\mathrm{S}}^{3}$ (or ${\mathrm{AdS}}_{3}).$ Then the ${\mathrm{S}}^{3}$ (or ${\mathrm{AdS}}_{3})$ 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 $\mathrm{pp}$ 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 fiber 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 $D=10.$
We obtain a large class of AdS spacetimes warped with certain internal spaces in 11-dimensional and type IIA or IIB supergravities. The warp factors depend only on the internal coordinates. These solutions arise as the near-horizon geometries of more general semilocalized 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 ${\mathrm{S}}^{3}$ (or ${\mathrm{AdS}}_{3}).$ Then the ${\mathrm{S}}^{3}$ (or ${\mathrm{AdS}}_{3})$ 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 $\mathrm{pp}$ 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 fiber 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 $D=10.$