Unstable solitons in noncommutative gauge theory

Citation
M. Aganagic et al., Unstable solitons in noncommutative gauge theory, J HIGH EN P, 2001(4), 2001, pp. NIL_1-NIL_28
Citations number
44
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
4
Year of publication
2001
Pages
NIL_1 - NIL_28
Database
ISI
SICI code
1029-8479(200104)2001:4<NIL_1:USINGT>2.0.ZU;2-R
Abstract
We find a class of exact solutions of noncommutative gauge theories corresp onding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2 +1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS soluti ons with the same Pontrjagin charge but greater energy than the usual self- dual Yang-Mills instanton. We conjecture that these solutions and generaliz ations thereof correspond to non-supersymmetric configurations of D(p - 2k) -branes (or intersections thereof) in a Dp-brane in the noncommutative scal ing limit of large B-field. In the particular case of a 0-brane on a 2-bran e the analysis of small fluctuations reveals an infinite tower of states wh ich agrees exactly with that of the 0-2 CFT in the scaling limit. The spect rum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.