Doubly-fluctuating BPS solutions in six dimensions

Abstract

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.

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

“…The results of [40] apply to a restricted ansatz where the fields Z 4 , a 4 , δ 2 have been set to zero: we will generalise here those results to our more general setting.…”

Multicenter superstrata

“…As demonstrated in [23], finding solutions with flat base reduces to a sequence of linear problems, and we will focus on such bases.…”

“…These solutions depend on arbitrary functions of two variables, and they became known as superstrata. Some special superstrata have been constructed in [21][22][23][24][25][26] by applying various generating techniques [12,[27][28][29]] to a two-charge round supertube [30]. We will extend this construction by starting with a background produced by several concentric supertubes.…”

Bubbling geometries for AdS2× S2

“…When the energy increases even further, 2 the gravitational backreaction of branes becomes important, and one needs to find deviations from the AdS p ×S q geometry. In the past this problem has been analyzed for p = 3, 4, 5, 7, where all supersymmetric branes have been classified [32,33], all regular geometries preserving half of the supersymmetries have been constructed [34][35][36], and a progress towards finding 1/4-BPS geometries has been made [37][38][39][40][41][42][43][44][45][46][47][48][49]. The goal of this article is to extend these successes to supersymmetric excitations of AdS 2 ×S 2 .…”

“…In the vicinity of the singular curve we find the approximate expressions for the Cartesian coordinates, 46) and for the harmonic functions…”