AdS in Warped Spacetimes

C.N. Pope; H. Lu; J.F. Vazquez-Poritz; M. Cvetic

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AdS in Warped Spacetimes

M. Cvetic, H. Lu, C.N. Pope, J.F. Vazquez-Poritz

High Energy Physics - Theory · Submitted 25 May 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We obtain a large class of AdS spacetimes warped with certain internal spaces in eleven-dimensional and type IIA/IIB supergravities.

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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.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We obtain a large class of AdS spacetimes warped with certain internal spaces in eleven-dimensional and type IIA/IIB supergravities.	contribution 0.65	0.95	0.70	asserted 1.00
s1	The warp factors depend only on the internal coordinates.	result 0.94	0.75	0.06	asserted 1.00
s2	These solutions arise as the near-horizon geometries of more general semi-localised multi-intersections of $p$-branes.	result 0.65	0.60	0.20	asserted 1.00
s3	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).	method 0.98	0.48	0.06	asserted 1.00
s4	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.	method 0.91	0.69	0.07	asserted 1.00
s5	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).	method 0.97	0.90	0.08	asserted 1.00
s6	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.	interpretation 0.99	0.61	0.40	hedged possibility 0.95

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.99.

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Original 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.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Supersymmetric AdS_5 solutions of M-theory
hep-th 2004-02 accept novelty 8.0 of 10

The paper classifies the local geometry of supersymmetric AdS5 x M6 solutions of D=11 supergravity and constructs new explicit regular compact solutions, including a new family of Sasaki-Einstein spaces containing T^{1,1}/Z2.
R7-branes and AdS$_{\text{9}}$ solutions in type IIB
hep-th 2026-08 conditional novelty 7.0 of 10

Explicit analytic 7-brane solutions in type IIB are built with AdS9 near-horizon geometry, and imposing the reflection monodromy tau -> -bar tau selects a subclass proposed as R7-branes.
Warped $AdS_6\times S^2$ in Type IIB supergravity I: Local solutions
hep-th 2016-06 accept novelty 7.0 of 10

The complete local Type IIB supergravity solution with AdS6 x S2 isometry and 16 supersymmetries is expressed in closed form in terms of two holomorphic functions on a Riemann surface.
Supergravity description of field theories on curved manifolds and a no go theorem
hep-th 2000-07 accept novelty 7.0 of 10

Wrapped-brane supergravity solutions yield smooth AdS5 compactifications of M-theory, and a general integral argument rules out non-singular Randall-Sundrum and de Sitter compactifications when the scalar potential is...
Surface defects in the D4 $-$ D8 brane system
hep-th 2018-07 conditional novelty 6.0 of 10

New exact BPS flows with a running two-form in six-dimensional F(4) supergravity uplift to a warped AdS3 x S2 x S3 massive IIA background interpreted as a surface defect in the AdS6/CFT5 correspondence.

Show 4 more citing papers

AdS_6 solutions of type II supergravity
hep-th 2014-06 conditional novelty 6.0 of 10

Every supersymmetric AdS_6 x M_4 solution of type IIB supergravity has an internal space that is an S^2 fibration over a two-dimensional base, with the metric and fluxes fixed by two PDEs.
Supersymmetric AdS_6 via T-duality
hep-th 2012-12 conditional novelty 6.0 of 10

A non-Abelian SU(2) T-duality of the massive IIA AdS_6 x S^4 solution yields a new supersymmetric type IIB AdS_6 background with SU(2) isometry and sixteen supercharges.
Hints of 5d Fixed Point Theories from Non-Abelian T-duality
hep-th 2013-11 conditional novelty 5.0 of 10

Probe-brane and charge-quantization analysis of the non-Abelian T-dual AdS6 background suggests a two-node quiver dual, though global consistency forces one gauge group to zero rank.
Supersymmetric AdS_6 Solutions of Type IIB Supergravity
hep-th 2015-06 conditional novelty 4.0 of 10

Using Killing spinors, the authors confirm the known canonical form of supersymmetric AdS_6 solutions in type IIB supergravity and derive a four-dimensional sigma-model description with an SL(3,R)/SO(2,1) target space.

How the literature uses it

30 arXiv papers cite this in 50 sentences

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Papers citing it · 32 sentences without a confident label

Builds on it 3 papers

These backgrounds are obtained as near horizon geometries of 1/8-BPS brane intersections consisting on D1-F1-D3 defect branes introduced in the D5-NS5-D7 background branes realising the AdS$_6×S^2×Σ_2$ solution to Type IIB supergravity constructed in [ref] in its near-horizon.

AdS$_2$ near-horizons, defects and string dualities · Introduction · 0.89
Our analysis extends[And corrects, as explained in section [ref].] the results in [ref] , where AdS$_3$ solutions dual to surface defect CFTs embedded in the 6d $(1,0)$ CFT dual to the AdS$_7$ solution to massless Type IIA supergravity [ref] were constructed, allowing now for $F_0≠0$.

New AdS$_3$/CFT$_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries · Conclusions · 0.91
The metric form D2D6:metric:Eq is a straightforward generalization of the case of a static D2-D6 brane system with a dilaton coupling [ref] .

Cosmological brane systems in warped spacetime · AdS$_4$ spacetime in the D2-D6 brane system · 0.93

Uses its method or tool 1 paper

With this choice of $Q_3$, one precisely obtains $k=Q_5$ via T-duality.] [ref] [equation] and cast it into the new parametrization [ref] [equation] In these new coordinates the D3-KK background [ref] can be rewritten as [ref] [equation] The $S^5/ℤ_k$ metric is precisely the same obtained with T-duality, given in [ref], with $k=Q_KK$.

Defects in 4d SCFTs from supergravity and holographic renormalization · The Type IIB picture · 0.80

Compares with it 1 paper

The metric takes exactly the form in [ref] obtained as the near-horizon geometry of the massless D0 – F1 semilocalized intersection in [ref] , provided that $Q_D0 ≡1/2 c_2^2$, $Q_F1 ≡-Δ(α)$.

$\textrm{AdS}_{2}\times S^7$ solutions from D0 $-$ F1 $-$ D8 intersections · The massless solution · 0.88

Cites it as background 11 papers

The dynamical solutions in string theory will coincide with intersecting brane solutions, in the form that these have been presented in [ref] and further studied in [ref] .

Cosmological brane systems in warped spacetime · Introduction · 0.81
The first AdS$_6$ solution in type IIB supergravity was obtained by taking abelian T-dual transformation of the Brandhuber and Oz solution [ref] .

Comments on the symmetry of AdS$_6$ solutions in String/M-theory and Killing spinor equations · Examples · 0.82
A natural extension is the study of backgrounds with an AdS$_2$ factor [ref] - [ref] .

New AdS$_2$ backgrounds and ${\cal N}=4$ Conformal Quantum Mechanics · Introduction and general idea · 0.81

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