| DATE: |
2005-06-21 11:00 - |
| PLACE: |
Hon-kan Rm. 220 |
| TITLE: |
Dissolving D0-brane into D2-brane with background B-field |
| CONTACT: |
Tango |
| SPEAKER: |
Dr. Yoshinao Sato (Tokyo Univ.) |
| LANGUAGE: |
Japanese |
| ABSTRACT: |
D0-branes on a D2-brane with a constant background
B-field are unstable due to the presence of a tachyonic
mode and expected to dissolve into the D2-brane to formulate
a constant D0-charge density.
In this paper we study such a dissolution process in terms of a
noncommutative gauge theory.
Our results show that the localized D0-brane spreads out
over all of space on the D2-brane as the tachyon rolls down
into a stable vacuum.
D0-branes on a D2-brane can be described as unstable solitons
in a noncommutative gauge theory in 2+1 dimensions in the
Seiberg-Witten limit.
In contrast to the case of annihilation of a non-BPS D-brane,
we are free from difficulty of disappearance of DOF,
since there exist open strings after the tachyon condensation.
We solve an equation of motion of the gauge field numerically,
and our results show that the localized soliton smears
over all of noncommutative space.
In addition, we evaluate distributions of D-brane charge,
F-string charge, and energy density via formulas
derived in Matrix theory.
Our results show that the initial singularities of
D0-charge and energy density are resolved by turning on the tachyon,
and they disperse over the whole space on the D2-brane. |
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