Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-30
Nucl.Phys. B617 (2001) 117-150
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, no figure, v2: typos corrected, references added, v3: minor corrections, some discussions added in Sec. 2, v4: refer
Scientific paper
10.1016/S0550-3213(01)00473-4
We study D-branes in SU(2) WZW model by means of the boundary state techniques. We realize the ``fuzzy sphere'' configuration of multiple D0-branes as the boundary state with the insertion of suitable Wilson line. By making use of the path-integral representation we show that this boundary state preserves the appropriate boundary conditions and leads to the Cardy state describing a spherical D2-brane under the semi-classical approximation. This result directly implies that the spherical D2-brane in SU(2) WZW model can be well described as the bound state of D0-branes. After presenting the supersymmetric extension, we also investigate the BPS and the non-BPS configurations of D-branes in the NS5 background. We demonstrate that the non-BPS configurations are actually unstable, since they always possess the open string tachyons. We further notice that the stable BPS bound state constructed by the tachyon condensation is naturally interpreted as the brane configuration of fuzzy sphere.
Hikida Yasuaki
Nozaki Masatoshi
Sugawara Yuji
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