Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions

By J. Gauntlett, O. Varela. 2007

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For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of $Ad{S}_{5}$ 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 $Ad{S}_{4}\ifmmode\times\else\texttimes\fi{}S{E}_{7}$ solutions, where $S{E}_{7}$ is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of $Ad{S}_{4}$ with a seven-dimensional manifold ${N}_{7}$, there is an analogous consistent reduction to minimal $D=4$ gauged supergravity.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6d062efd720d0e5d7f1b9bf297f6f7b1be574913

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Citations in the corpus

The gravity dual of supersymmetric gauge theories on a squashed three-sphere (2011, methodology): “(It also uplifts [33] to a solution of the twisted, warped form M4 ×w N7, corresponding to M5-branes wrapping SLag three-cycles, although we will not use this in this paper.”
Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions (2010, background): “Also, in some cases [1, 8, 2] the fermions have been taken into consider-”
A universal counting of black hole microstates in AdS4 (2017, background): “3) in [61] we have introduced an overall scale L.”
Thermoelectric DC conductivities from black hole horizons (2014, background): “By extending the arguments in [34] one can show that this theory arises as a consistent Kaluza-Klein truncation of D = 10 string theory on an internal manifold M5 associated with any supersymmetric AdS5 × M5 solution of the D = 10 supergravity theory.”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, background): “For any solution in this general class, it has already been shown that there is a consistent truncation to minimal gauged supergravity, with bosonic fields consisting of a metric and a gaugefield [18].”
Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, background): “This ansatz gives again a consistent reduction, which is an extension of the consistent reduction to the (bosonic sector of the) minimal gauged supergravity [42, 43].”
Landscape of superconducting membranes (2009, background): “eld in four dimensions. See for instance [ 35 , 27].”
Holographic striped phases (2011, methodology): “Second, we recall that for any AdS4 × M solution of D = 10 or D = 11 supergravity which is dual to an N = 2 SCFT in d = 3, it is conjectured that there is a consistent Kaluza-Klein truncation on M to N = 2 D = 4 minimal gauged supergravity, and this has been proven for several different classes [27]”
Black Holes in Higher Dimensions (2008, background): “More generally, if there is a supersymmetric solution of type IIB supergravity that is a warped product of AdS5 with some compact manifold X5, then type IIB supergravity can be dimensionally reduced on X5 to give minimal d = 5 gauged supergravity [104].”
Quantum criticality and holographic superconductors in M-theory (2009, methodology): “We start by summarising the consistent KK truncation of D = 11 supergravity on an arbitrary Sasaki-Einstein space SE7 found in [7] (extending [26][27]).”
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes (2018, background): “Any solution to this theory can be uplifted locally to type IIB supergravity on S5 or, more generally, on a Sasaki-Einstein five-fold [33, 34].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, methodology): “Starting with any supersymmetric solution of D = 10 or D = 11 supergravity that is the warped product of an AdSd+1 space with an internal space M , it was conjectured [1] (see also [2]) that one can always consistently reduce on the space M to obtain a gauged supergravity theory in d+1 dimensions, i”
The thermoelectric properties of inhomogeneous holographic lattices (2014, background): “An interesting class of examples is provided by the infinite class of AdS4 × SE7 solutions, where SE7 is a sevendimensional Sasaki-Einstein space, dual to CFTs with N = 2 supersymmetry in d = 3 space-time dimensions [36].”