Unstable solitons in noncommutative gauge theory

By Mina Aganagic, Rajesh Gopakumar, Shiraz Minwalla, Andrew Strominger. 2000

163 citations recorded by the source corpus.

We find a class of exact solutions of noncommutative gauge theories corresponding 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 solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D(p−2k)-branes (or intersections thereof) in a Dp-brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/61dd9d0d57bea17caff2f91289d7899fe6419c68

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In Astronomy and Astrophysics

1. Ashoke Sen
2. Per Kraus
3. F. Larsen
4. J. Harvey
5. E. Witten
6. A. Schwarz
7. A. Konechny
8. B. Zwiebach

In Nuclear and High Energy Physics

1. Ashoke Sen
2. Per Kraus
3. F. Larsen
4. J. Harvey
5. E. Witten
6. B. Zwiebach
7. L. Rastelli
8. A. Schwarz

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. Per Kraus
3. F. Larsen
4. J. Harvey
5. A. Schwarz
6. A. Konechny
7. E. Witten
8. L. Rastelli

Citations in the corpus

• BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field (2000, background): “) Which solution we want is quite clear from several recent papers [6-11].”
• Exact noncommutative solitons (2000, background): “ar X iv :h ep -t h/ 00 10 06 0v 3 1 J an 2 00 1 hep-th/0010060 EFI-00-38 Exact Noncommutative Solitons Jeffrey A. Harvey, Per Kraus, and Finn Larsen Enrico Fermi Institute and Department of Physics University of Chicago,”
• Introduction to M(atrix) theory and noncommutative geometry (2000, methodology): “in d = 2 + 1 dimension is analyzed in [ 36 ].”