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D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere | | Koji Hashimoto
; Kirill Krasnov
; | | Date: |
23 Dec 2000 | | Journal: | Phys.Rev. D64 (2001) 046007 | | Subject: | hep-th | | Abstract: | Non-commutative gauge theory on fuzzy sphere was obtained by Alekseev et al. as describing the low energy dynamics of a spherical D2-brane in S^3 with the background b-field. We identify a subset of solutions of this theory which are analogs of ``unstable’’ solitons on a non-commutative flat D2-brane found by Gopakumar et al. Analogously to the flat case, these solutions have the interpretation as describing D0-branes ``not yet dissolved’’ by the D2-brane. We confirm this interpretation by showing the precise agreement of the binding energy computed in the non-commutative and ordinary Born-Infeld descriptions. We then study stability of the solution describing a single D0-brane off a D2-brane. Similarly to the flat case, we find an instability when the D0-brane is located close to the D2-brane. We furthermore obtain the complete mass spectrum of 0-2 fluctuations, which thus gives a prediction for the low energy spectrum of the 0-2 CFT in S^3. We also discuss in detail how the instability to a formation of the fuzzy sphere modifies the usual Higgs mechanism for small separation between the branes. | | Source: | arXiv, hep-th/0101145 | | Services: | Forum | Review | PDF | Favorites | |
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