Spectral flow, and the spectrum of multicenter solutions
Abstract
We discuss “spectral-flow” coordinate transformations that take asymptotically four-dimensional solutions into other asymptotically four-dimensional solutions. We find that spectral flow can relate smooth three-charge solutions with a multicenter Taub-NUT base to solutions where one or several Taub-NUT centers are replaced by two-charge supertubes, and vice versa. We further show that multiparameter spectral flows can map such Taub-NUT centers to more singular centers that are either D2-D0 or pure D0-brane sources. Since supertubes can depend on arbitrary functions, we establish that the moduli space of smooth horizonless black-hole microstate solutions is classically of infinite dimension. We also use the physics of supertubes to argue that some multicenter solutions that appear to be bound states from a four-dimensional perspective are in fact not bound states when considered from a five- or six-dimensional perspective.
- Publication:
-
Physical Review D
- Pub Date:
- June 2008
- DOI:
- 10.1103/PhysRevD.77.125025
- arXiv:
- arXiv:0803.1203
- Bibcode:
- 2008PhRvD..77l5025B
- Keywords:
-
- 04.65.+e;
- 04.70.Dy;
- 11.25.-w;
- Supergravity;
- Quantum aspects of black holes evaporation thermodynamics;
- Strings and branes;
- High Energy Physics - Theory
- E-Print:
- 30 pages, 1 figure