The supergravity dual of a theory with dynamical supersymmetry breaking

Details The supergravity dual of a theory with dynamical supersymmetry breaking The supergravity dual of a theory with dynamical supersymmetry breaking

2001-05-04

arxiv.org/abs/hep-th/0105049v4

JHEP 0109:024,2001

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures, tex, references added, typos corrected, eq. 2.2 corrected

Scientific paper

10.1088/1126-6708/2001/09/024

We study the large $N$ limit of a little string theory that reduces in the IR to U(N) ${\cal N} =1$ supersymmetric Yang-Mills with Chern Simons coupling $k$. Witten has shown that this field theory preserves supersymmetry if $k\geq N/2$ and he conjectured that it breaks supersymmetry if $k< N/2$. We find a non-singular solution that describes the $k=N/2$ case, which is confining. We argue that increasing $k$ corresponds to adding branes to this solution, in a way that preserves supersymmetry, while decreasing $k$ corresponds to adding anti-branes, and therefore breaking supersymmetry.

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