Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-13
JHEP 0902:021,2009
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, 8 figures; v3: minor changes and references added; v4: improved figs. 7 and 8, matches with published version
Scientific paper
10.1088/1126-6708/2009/02/021
We analyze the dynamics of neutral black rings in Taub-NUT spaces and their relation to systems of D0 and D6 branes in the supergravity approximation. We employ several recent techniques, both perturbative and exact, to construct solutions in which thermal excitations of the D0-branes can be turned on or off, and the D6-brane can have $B$-fluxes turned on or off in its worldvolume. By explicit calculation of the interaction energy between the D0 and D6 branes, we can study equilibrium configurations and their stability. We find that although D0 and D6 branes (in the absence of $B$ fields, and at zero temperature) repeal each other at non-zero separation, as they get together they go over continuosly to an unstable bound state of an extremal singular Kaluza-Klein black hole. We also find that, for $B$-fields larger than a critical value, or sufficiently large thermal excitation, the D0 and D6 branes form stable bound states. The bound states with thermally excited D0 branes are black rings in Taub-NUT, and we provide an analysis of their phase diagram.
Camps Joan
Emparan Roberto
Figueras Pau
Giusto Stefano
Saxena Ashish
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