Abstract
We study a new class of supersymmetric solutions in five-dimensional supergravity representing multi-center configurations of codimension-2 branes along arbitrary curves. Codimension-2 branes are produced in generic situations out of ordinary branes of higher codimension by the supertube effect and, when they are exotic branes, spacetime generally becomes non-geometric. The solutions are characterized by a set of harmonic functions on $\mathbb{R}^3$ with non-trivial monodromies around codimension-2 branch-point singularities. The solutions can be regarded as generalizations of the Bates-Denef/Bena-Warner multi-center solutions with codimension-3 centers to include codimension-2 ones. We present some explicit examples of solutions with codimension-2 centers, and discuss their relevance for the black microstate (non-)geometry program.
Highlights
We study a new class of supersymmetric solutions in five-dimensional supergravity representing multi-center configurations of codimension-2 branes along arbitrary curves
Black holes in string theory are typically constructed by intersecting multiple stacks of branes, which can spontaneously polarize by the supertube transition into small-codimension branes
Studying small-codimension branes and the accompanying non-geometric structure of spacetime is relevant for understanding microscopic physics of black holes in string theory
Summary
As we have seen above, the 4D/5D solution is specified by the set of harmonic functions V , KI , LI , M. Where x = (x1, x2, x3), and ap ∈ R3 is the position of the sources at which the harmonic functions become singular. In the type IIA picture (2.23), the singularities in the harmonic functions (2.25) have the following interpretation as brane sources [14]:. Many known black hole and black ring solutions in 4D and 5D are included in the 4D/5D solutions with the harmonic functions having codimension-3 singularities, (2.25). Other examples include the BMPV black hole [48], the supersymmetric black ring [7, 49, 50], the MSW black hole [51], multi-center black hole/ring solutions [14] and microstate geometries [26, 27]
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