8,357 research outputs found
D-branes on Three-dimensional Nonabelian Orbifolds
We study D-branes on a three complex dimensional nonabelian orbifold with a finite subgroup of SU(3). We present general
formulae necessary to obtain quiver diagrams which represent the gauge group
and the spectrum of the D-brane worldvolume theory for dihedral-like subgroups
and . It is found that the quiver diagrams have a
similar structure to webs of branes.Comment: 13 pages, LaTex, 2 figures, minor corrections, to appear in JHE
Stability of Quiver Representations and Topology Change
We study phase structure of the moduli space of a D0-brane on the orbifold
C^3/Z_2 \times Z_2 based on stability of quiver representations. It is known
from an analysis using toric geometry that this model has multiple phases
connected by flop transitions. By comparing the results of the two methods, we
obtain a correspondence between quiver representations and geometry of toric
resolutions of the orbifold. It is shown that a redundancy of coordinates
arising in the toric description of the D-brane moduli space, which is a key
ingredient of disappearance of non-geometric phases, is understood from the
monodromy around the orbifold point. We also discuss why only geometric phases
appear from the viewpoint of stability of D0-branes.Comment: 16 pages, 7 figures, minor corrections, references adde
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