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Title: D-brane solutions in noncommutative gauge theory on fuzzy sphere

Abstract

Noncommutative gauge theory on a fuzzy sphere was obtained by Alekseev, Recknagel, and Schomerus as describing the low energy dynamics of a spherical D2 brane in S{sup 3} with the background b field. We identify a subset of solutions of this theory which are analogues of 'unstable' solitons on a noncommutative flat D2 brane found by Aganagic et al. Analogously to the flat case, these solutions can be interpreted 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 noncommutative and ordinary Born-Infeld descriptions. We then study the 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 conformal field theory in S{sup 3}. We also discuss in detail how the instability to a formation of the fuzzy sphere modifies the usual Higgs mechanism for a small separation between the branes.

Authors:
;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40230618
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 64; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.64.046007; Othernumber: PRVDAQ000064000004046007000001; 031116PRD; PBD: 15 Aug 2001; Journal ID: ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINDING ENERGY; FLUCTUATIONS; FORECASTING; INSTABILITY; SOLITONS; STABILITY

Citation Formats

Hashimoto, Koji, and Krasnov, Kirill. D-brane solutions in noncommutative gauge theory on fuzzy sphere. United States: N. p., 2001. Web. doi:10.1103/PhysRevD.64.046007.
Hashimoto, Koji, & Krasnov, Kirill. D-brane solutions in noncommutative gauge theory on fuzzy sphere. United States. https://doi.org/10.1103/PhysRevD.64.046007
Hashimoto, Koji, and Krasnov, Kirill. 2001. "D-brane solutions in noncommutative gauge theory on fuzzy sphere". United States. https://doi.org/10.1103/PhysRevD.64.046007.
@article{osti_40230618,
title = {D-brane solutions in noncommutative gauge theory on fuzzy sphere},
author = {Hashimoto, Koji and Krasnov, Kirill},
abstractNote = {Noncommutative gauge theory on a fuzzy sphere was obtained by Alekseev, Recknagel, and Schomerus as describing the low energy dynamics of a spherical D2 brane in S{sup 3} with the background b field. We identify a subset of solutions of this theory which are analogues of 'unstable' solitons on a noncommutative flat D2 brane found by Aganagic et al. Analogously to the flat case, these solutions can be interpreted 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 noncommutative and ordinary Born-Infeld descriptions. We then study the 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 conformal field theory in S{sup 3}. We also discuss in detail how the instability to a formation of the fuzzy sphere modifies the usual Higgs mechanism for a small separation between the branes.},
doi = {10.1103/PhysRevD.64.046007},
url = {https://www.osti.gov/biblio/40230618}, journal = {Physical Review D},
issn = {0556-2821},
number = 4,
volume = 64,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2001},
month = {Wed Aug 15 00:00:00 EDT 2001}
}