Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-01
JHEP 9902 (1999) 018
Physics
High Energy Physics
High Energy Physics - Theory
5 Pages, Revtex, no figures, revised version to appear in JHEP
Scientific paper
10.1088/1126-6708/1999/02/018
Sen has shown that tachyon condensation in Dbrane-anti-Dbrane configurations can lead to remarkable connections between string theories. A consequence of his results is that there is a minimal value of the radial coordinate $r_{c} \propto \sqrt{\alpha'} (gN)^{1/(9-p)}$ such that N units of D$p$brane charge cannot be localized to values smaller than $r_{c}.$ At this value of $r_{c}$ the curvature and the gradient of the Ramond-Ramond field strength are of order $1/\alpha',$ and the vacuum, regarded as a Dbrane-anti-Dbrane configuration with a tachyon condensate, is rendered unstable, leading to a separation of the Dbrane and the anti-Dbrane. This value of $r_{c}$ lies in the region intermediate between the near-horizon regime and the asymptotic regime for Dbrane classical solutions for small $g$. This vacuum stability bound on the curvature can be interpreted as an uncertainty relation for Dbrane charge.
Gutperle Michael
Periwal Vipul
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