The supergravity dual of a theory with dynamical supersymmetry breaking

Abstract

We study the large $N$ limit of a little string theory that reduces in the IR to U(N) $\mathcal{N}=1$ supersymmetric Yang-Mills with Chern Simons coupling $k$. Witten has shown that this field theory preserves supersymmetry if $k\ge N/2$ 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.

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

References in corpus (4)

• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• Supersymmetric Non-singular Fractional D2-branes and NS-NS 2-branes
• Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions
• Non-Abelian vacua in D=5, N=4 gauged supergravity

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