Multi-superthreads and supersheets

Abstract

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.

Superdescendants of the D1D5 CFT and their dual 3-charge geometries

“…2 The same conclusion was reached from a different perspective in [31]. For attempts to construct v-dependent solutions representing unbound superpositions of D1 and D5 charges carrying momentum, see [32][33][34]. 3 In the example of section 5.2 the coordinate system in which the 4D part of the metric is conformally v-independent does not coincide with the coordinate system in which the asymptotic limit of the geometry looks explicitly like…”

Hair-brane ideas on the horizon

“…The entropy of these states does not scale with the charges as rapidly as the black fivebrane entropy, which is larger by a factor of order √ n 5 due to the disparity between the tensions of the fundamental string and the little string. Similarly, the entropy of the largest known class of horizonless microstate geometries [18] is based on placing supertubes at the bottom of a microstate geometry with a long but finite throat and absorbing them into the background; the result does not scale with the charges as rapidly as the BTZ black hole entropy (though that deficiency could be due to an insufficiently general ansatz for the shape modes of the supertube [8,9,58]). At the same time, the long string is not apparent.…”

“…Nevertheless, it is a possibility that techniques to construct a finite fraction of three-charge black hole states might be found, so that similar amounts come from geometrical structures and from horizon-wrapping brane condensates. Indeed, a proposal for the "missing" entropy of geometrical solutions has been explored in [8,9,58]. But even if microstate geometries turn out not to be the main contributors to the density of states, the macroscopic entropy already found from geometrical constructions [18], the matching of certain low-energy black hole emission spectra [59][60][61], the possibility of perturbing them slightly to become black holes, and the increasingly precise duality map (see for example [9,10,52,62]) make these objects particularly worthy of further study.…”

Doubly-fluctuating BPS solutions in six dimensions

“…However, it was recently shown in [18] that while the requirements on the five-dimensional spatial background is essentially non-linear, the BPS equations that determine all the charges, two sets of the magnetic fluxes and the angular momentum are, in fact, linear. This means that there are certainly interesting new classes of BPS solution within reach and some of these have already been obtained [18,[27][28][29].…”

“…If one removes the condition (5.18), and works with general q ± , k ± , then the foregoing discussion goes through as before except that the collapsing circles and density functions are parametrized by (φ, χ ± η) and χ ∓ η respectively. Using (5.6), one obtains 27) and these define the modes along the circles of finite size at r + = 0 and r − = 0 respectively. This is, of course, consistent with the observation that the finite circle and its modes are defined by r ± α as in section 4.3.…”