Abstract
The most detailed constructions of microstate geometries, and particularly of superstrata, are done using mathcal{N} = (1, 0) supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important sub-sector of this theory has a consistent truncation to a particular gauged supergravity in three dimensions. Our consistent truncation is closely related to those recently laid out by Samtleben and Sarıoğlu [1], which enables us to develop complete uplift formulae from the three-dimensional theory to six dimensions. We also find a new family of multi-mode superstrata, indexed by two arbitrary holomorphic functions of one complex variable, that live within our consistent truncation and use this family to provide extensive tests of our consistent truncation. We discuss some of the future applications of having an intrinsically three-dimensional formulation of a significant class of microstate geometries.
Highlights
The construction of BPS/supersymmetric microstate geometries in five and six dimensions is a well-developed art [2,3,4,5,6,7,8]
We find a new family of multi-mode superstrata, indexed by two arbitrary holomorphic functions of one complex variable, that live within our consistent truncation and use this family to provide extensive tests of our consistent truncation
Superstrata are based on the D1-D5 system, whose underlying CFT is created by open strings stretched between the branes, and so the field theory has a worldvolume along the common directions of the branes
Summary
The construction of BPS/supersymmetric microstate geometries in five and six dimensions is a well-developed art [2,3,4,5,6,7,8]. Encoding such momentum waves in the dual geometries means that they necessarily depend non-trivially on five of the six dimensions The construction of these geometries is only possible because of the dramatic simplification afforded by the linear structure of the BPS equations and the decomposition of the solution into its “linear pieces” [16]. There are the relatively trivial consistent truncations that are based on reducing a higher-dimensional supergravity on a manifold that has isometries and restricting fields to singlets of those isometries. This includes all the standard torus compactifications.
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