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Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions

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abstract

For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of AdS_5 with a five-dimensional manifold M_5, we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there is an analogous consistent reduction to minimal D=4 gauged supergravity.

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hep-th 10

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2026 7 2025 3

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representative citing papers

Holographic Tests of the $\mu$ Ensemble

hep-th · 2026-07-07 · conditional · novelty 7.0

Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.

Covariant unification of holographic c-functions

hep-th · 2026-05-18 · unverdicted · novelty 7.0

A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.

Maximal trombone supergravity from wrapped M5-branes

hep-th · 2026-01-12 · unverdicted · novelty 7.0

Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.

Consistent subsectors of maximal supergravity and wrapped M5-branes

hep-th · 2025-11-19 · unverdicted · novelty 7.0

New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.

Equivariant localization for $D=5$ gauged supergravity

hep-th · 2025-08-11 · unverdicted · novelty 7.0

A method is given to compute the D=5 on-shell action via equivariant localization after dimensional reduction to D=4 N=2 gauged supergravity for solutions admitting both the R-symmetry Killing vector and an additional Killing vector.

Towards OSV in AdS

hep-th · 2026-06-22 · unverdicted · novelty 6.0

Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.

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