Black String Entropy and Fourier-Mukai Transform

Abstract

We propose a microscopic description of black strings in F-theory based on string duality and Fourier-Mukai transform. These strings admit several different microscopic descriptions involving D-brane as well as M2 or M5-brane configurations on elliptically fibered Calabi-Yau threefolds. In particular our results can also be interpreted as an asymptotic microstate count for D6-D2-D0 configurations in the limit of large D2-charge on the elliptic fiber. The leading behavior of the microstate degeneracy in this limit is shown to agree with the macroscopic entropy formula derived from the black string supergravity solution.

22 pages, latex; v2: substantial revision of the macroscopic description of the system; results essentially unchanged

References in corpus (4)

• A Farey Tail for Attractor Black Holes
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Precision Microstate Counting of Small Black Rings
• Branes, Black Holes and Topological Strings on Toric Calabi-Yau Manifolds

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• BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets
• Entropy Functions with 5D Chern-Simons terms
• Four-dimensional black hole entropy from F-theory
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Bound states of spinning black holes in five dimensions