Supersymmetric AdS5 solutions of type IIB supergravity

By J. Gauntlett, D. Martelli, J. Sparks, D. Waldram. 2005

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We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (AdS5) with a five-dimensional Riemannian manifold M5. All fluxes are allowed consistent with SO(4, 2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M5. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second-order nonlinear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions giving complete metrics on S5 but with three-form flux and Killing spinors that are not globally defined.

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

View Paper: https://www.semanticscholar.org/paper/b25852ab5452b2d2ed7a28c1ee401d127e1031b5

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Citations in the corpus

Lifshitz solutions of D=10 and D=11 supergravity (2010, background): “3) (3)Our conventions for type IIB supergravity [24, 25] are as in [26].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “Similarly, the KK truncations for the class of N = 2 AdS4 solutions of D = 11 supergravity and the class of N = 1 AdS5 solutions of type IIB which were classified in [56] and [57], respectively, were presented in [1].”
Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions (2007, methodology): “We use the same conventions as in [15] and some of this is recorded in appendix A.”
Supersymmetric sources, integrability and generalized-structure compactifications (2007, background): “ny world-volume electric ﬁelds. Moreover, the time/space components of the Einstein equation E 0i = 0 have to be imposed by hand. In the absence of sources, this was already shown in [10] for IIA and [12] for IIB, so here we will focus on the contribution of the sources. The proof relies on the fact”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “We are using the conventions of [52] for the type IIB supergravity.”
Four-dimensional SCFTs from M5-branes (2012, background): “This has been shown for other supergravity theories in [55, 56, 57], but has not been shown for the maximal gauged supergravity in seven dimensions.”
Warped AdS6 × S2 in Type IIB supergravity II: global solutions and five-brane webs (2017, background): “(1)Previous attempts to construct warped AdS6 solutions have appeared in [13, 14, 15], but the partial differential equations derived from the BPS conditions have remained unsolved in these papers.”
On gravitational description of Wilson lines (2006, methodology): “Notice, that in principle to find a supersymmetric background it is sufficient to analyze all spinor bilinears, and this technique was very fruitful in the recent years [31].”
Supersymmetric AdS3, AdS2 and bubble solutions (2006, background): “We now find the one parameter family of solutions : (l1, l1,− l1(l1 + 2) 2l1 + 1 , 1), l1 ∈ [−2 − √ 3,−1] (l1, l1,− l1(l1 − 2) 2l1 − 1 ,−1), l1 ∈ (−1, 2 − √ 3) (6.19) In addition to the cases when three li are equal that we have already discussed, this family also contains the interesting solution…”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, background): “Over the last few years a number of authors have discovered an infinite number of generalizations of the AdS/CFT conjecture [65, 66, 67, 68, 69, 70, 71, 72, 73].”
Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, unknown): “We follow the notations in [66].”