Abstract
We find and study supergravity BPS bound states of five-dimensional spinning black holes in asymptotically flat spacetime. These solutions follow from multi-string solutions in six-dimensional minimal supergravity and can be uplifted to F-theory or M-theory. We analyze the regularity conditions and work out the example of a bound state of two black holes in detail. The bound state is supported by fluxes through nontrivial topologies exterior to the horizons and KK momentum. Furthermore, we determine the entropy and compare with other macroscopic BPS solutions.
Highlights
We find and study supergravity BPS bound states of five-dimensional spinning black holes in asymptotically flat spacetime
Since the Ftheory picture describes the black holes as 6d black strings wrapped over a circle, we are led to investigate the question of the existence of multicentered black strings in six dimensions
We have shown the existence of a large class of regular, BPS black hole bound state solutions in asymptotically R1,4 spacetime
Summary
Consider F-theory on an elliptically fibered Calabi-Yau threefold X with base B [14,15,16] In six dimensions this gives rise to the Poincare multiplet (containg the graviton and a self-dual tensor), nT = h1,1(B) − 1 tensor multiplets (with anti-selfdual tensors), and. The simplest setup for the study of black holes is when the base is chosen to be B = P2, for which there are no vector multiplets and no tensor multiplets, so we are led to pure minimal chiral (1,0) supergravity in six dimensions, with bosonic fields the metric and a self-dual three-form G = dC(2). BPS black strings in six dimensions arise from wrapping D3-branes in F-theory over a curve C in the base B [8, 9, 18]. These multiple strings may or may not bind in spacetime; we discuss the conditions under which they form BPS bound states in subsection 2.2
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