We analyze the BPS solutions of minimal supergravity coupled to an anti-selfdual tensor multiplet in six dimensions and find solutions that fluctuate non-trivially as a function of two variables. We consider families of solutions coming from KKM monopoles fibered over Gibbons-Hawking metrics or, equivalently, non-trivial T 2 fibrations over an R 3 base. We find smooth microstate geometries that depend upon many functions of one variable, but each such function depends upon a different direction inside the T 2 so that the complete solution depends non-trivially upon the whole T 2 . We comment on the implications of our results for the construction of a general superstratum.

Abstract:We continue an examination of the microstate geometries program begun in arXiv:1409.6017, focussing on the role of branes that wrap the cycles which degenerate when a throat in the geometry deepens and a horizon forms. An associated quiver quantum mechanical model of minimally wrapped branes exhibits a non-negligible fraction of the gravitational entropy, which scales correctly as a function of the charges. The results suggest a picture of AdS 3 /CFT 2 duality wherein the long string that accounts for BTZ black hole entropy in the CFT description, can also be seen to inhabit the horizon of BPS black holes on the gravity side.

We determine the end point of the axisymmetric ultraspinning instability of asymptotically flat Myers-Perry black holes in D = 6 spacetime dimensions. In the non-linear regime, this instability gives rise to a sequence of concentric rings connected by segments of black membrane on the rotation plane. The latter become thinner over time, resulting in the formation of a naked singularity in finite asymptotic time and hence a violation of the weak cosmic censorship conjecture in asymptotically flat higher-dimensional spaces. Introduction.-The recent detection of gravitational waves from black hole binary mergers [1, 2] has provided the first direct observation of these objects. The current observational data are compatible with the predictions of general relativity, and they suggest that the end point of such mergers is a Kerr black hole (BH) [3]. These observations provide evidence that the Kerr BH in vacuum is non-linearly stable, at least within a certain range of the angular momentum. However, a mathematically rigorous understanding of the stability of the generic Kerr BH, as well as a thorough understanding of its dynamics under arbitrary perturbations, is still lacking. In fact, recent work suggests that novel and nontrivial dynamics may be present very close to extremality (e.g., [4-6]). Higher dimensional BHs, however, can be unstable under gravitational perturbations. This was first shown by Gregory and Laflamme (GL) for black strings and black p-branes [7]. Determining the end point of this instability has been a subject of intense study due to the potential implications on the weak cosmic censorship conjecture (WCC) in such space-times. With the aid of numerical relativity (NR), [8] found that the GL instability gives rise to a self-similar structure of bulges connected by ever thinner string segments, which all undergo the GL instability. Eventually, the black string pinches off in finite asymptotic time, resulting in a naked singularity. Since no fine-tuning of the initial data was required , this result constituted a violation of the WCC, albeit in spacetimes with compact extra dimensions. Contrary to the D = 4 case, asymptotically flat BHs in higher dimensions can carry arbitrarily large angular mo-menta. At very large angular momenta, BHs become highly deformed and resemble black branes, which are known to be unstable under the GL instability [9]. This observation highlighted the possibility that higher dimensional asymptot-ically flat BHs can be unstable under gravitational perturbations. This indeed turned out to be the case. For instance, the black rings of [10] suffer from various types of instabilities [11-16], including the GL instability. The non-linear evolution of the latter was studied in a very recent work by three of us [15], where it was found that, for sufficiently thin rings, the evolution of the instability is similar to that of the GL instability of black strings. Hence, a naked singularity should form in finite asymptotic time, thus violating the WCC in higher-dimensional asymptoti...

We obtain new BPS solutions of six-dimensional, N = 1 supergravity coupled to a tensor multiplet. These solutions are sourced by multiple "superthreads" carrying D1-D5-P charges and two magnetic dipole charges. These new solutions are sourced by multiple threads with independent and arbitrary shapes and include new shape-shape interaction terms. Because the individual superthreads can be given independent profiles, the new solutions can be smeared together into continuous "supersheets," described by arbitrary functions of two variables. The supersheet solutions have singularities like those of the three-charge, two dipole-charge generalized supertube in five dimensions and we show how such five-dimensional solutions emerge from a very simple choice of profiles. The new solutions obtained here also represent an important step in finding superstrata, which are expected to play a role in the description of black-hole microstates, due to their ability to store a large amount of entropy in their two-dimensional profile.

We obtain finite-temperature M2 black branes in 11-dimensional supergravity, in a $G_4$-flux background whose self-dual part approaches a solution of Cveti\v{c}, Gibbons, L\"u, and Pope, based upon Stenzel's family of Ricci-flat K\"ahler deformed cones. Our solutions are asymptotically $AdS_4$ times a 7-dimensional Stiefel manifold $V_{5,2}$, and the branes are ``smeared'' to retain $SO(5)$ symmetry in the internal space. The solutions represent a mass deformation of the corresponding dual $CFT_3$, whose full description is at this time only partially-understood. We investigate the possibility of a confinement/de-confinement phase transition analogous to the $AdS_5 \times S^5$ case, and a possible Gregory-Laflamme type instability which could lead to polarised brane solutions which break $SO(5)$. We discuss possible consequences for AdS/CFT and the KKLT cosmological uplift mechanism.Comment: 33 pages, 3 figure

We find a class of non-supersymmetric multi-center solutions of the STU model of fivedimensional ungauged supergravity. The solutions are determined by a system of linear equations defined on a four-dimensional Kähler manifold with vanishing Ricci scalar and a U (1) isometry. The most general class of such Kähler manifolds was studied by LeBrun and they have non-trivial 2-cycles that can support the topological fluxes characteristic of bubbled geometries. After imposing an additional U (1) symmetry on the base we find explicit multi-center supergravity solutions. We show that there is an infinite number of regular multi-center solutions with non-trivial topology that are asymptotic to the nearhorizon limit of a BMPV black hole.

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We construct the supergravity dual of the hot quark-gluon plasma in the massdeformed N = 4 Super-Yang-Mills theory (also known as N = 1 * ). The full ten-dimensional type IIB holographic dual is described by 20 functions of two variables, which we determine numerically, and it contains a black hole with S 5 horizon topology. As we lower the temperature to around half of the mass of the chiral multiplets, we find evidence for (most likely a first-order) phase transition, which could lead either to one of the Polchinski-Strassler confining, screening, or oblique vacua with polarized branes, or to an intermediate phase corresponding to blackened polarized branes with an S 2 × S 3 horizon topology. This phase transition is a feature that could in principle be seen by putting the theory on the lattice, and thus our result for the ratio of the chiral multiplet mass to the phase transition temperature, m c /T = 2.15467491205(6), constitutes the first prediction of string theory and AdS/CFT that could be independently checked via four-dimensional super-QCD lattice computation. We also construct the black-hole solution in certain five-dimensional gauged supergravity truncations and, without directly using uplift/reduction formulae, we find strong evidence that the five-and ten-dimensional solutions are the same. This indicates that five-dimensional gauged supergravity is powerful enough to capture the physics of the high-temperature deconfined phase of the Polchinski-Strassler quark-gluon plasma. Dedicated to the memory of Joe Polchinski arXiv:1805.06463v1 [hep-th] 16 May 2018 Contents 1 Introduction 1 2 N = 1 * super-Yang-Mills and its holographic dual 5 2.1 The vacua of the N = 1 * theory and their supergravity duals 5 2.2 Five-dimensional gauged supergravity and GPPZ flow 7 2.3 The uplift of the supersymmetric GPPZ solution to ten dimensions 10 2.4 The 5D-10D connection 11 3 The SO(3)-invariant flows at finite temperature in 5d 12 3.1 The 2-scalar GPPZ subsector 12 3.2 Constructing finite-temperature flows in the 2-scalar GPPZ subsector 13 3.3 Thermal phases of the 2-scalar GPPZ subsector: results 17 4 The SO(3)×U (1)-invariant finite-temperature flows in type IIB supergravity 23 4.1 The type IIB equations of motion 23 4.2 The cohomogeneity-2 ansatz 25 4.3 Numerical scheme 28 4.4 Energy and a Smarr relation 30 4.5 IIB description of the deconfined high-temperature phase: results 33 5 Conclusion 35These are equivalent to the commutation relations of SU (2), and thus the (classical) vacua are classified by homomorphisms of SU (2) into the gauge group SU (N ). These have a nice combinatoric structure, which we will not detail here (but we refer the reader to [28]). In particular, there exist special vacua for each positive integer d that divides N , which have (classically) an unbroken SU (d) gauge symmetry. Quantum mechanically, these vacua split into d separate vacua with totally broken gauge symmetry and a mass gap [5]. They can be described as Higgs or screening (d = 1), confining (d = N ), or oblique confining (1 < d...