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.
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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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UNVERDICTED 9representative citing papers
Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
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.
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.
Finite-N indices for M5- and M2-branes are expressed via the same equivariant characteristic classes, generalizing M2/M5 duality through geometry exchange.
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.
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
citing papers explorer
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Covariant unification of holographic c-functions
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.
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Maximal trombone supergravity from wrapped M5-branes
Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
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Consistent subsectors of maximal supergravity and wrapped M5-branes
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.
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Equivariant localization for $D=5$ gauged supergravity
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.
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Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality
Finite-N indices for M5- and M2-branes are expressed via the same equivariant characteristic classes, generalizing M2/M5 duality through geometry exchange.
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Towards OSV in AdS
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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Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
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Spindle solutions with hyperscalars in $D=4$ gauged supergravity
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.
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Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.