The M-theory dual of a 3 dimensional theory with reduced supersymmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, REVTEX, extra remarks on domain walls and instantons, misprint corrected in (45), references and acknowledgement add

Scientific paper

10.1103/PhysRevD.62.126006

In a recent paper, Polchinski and Strassler found a string theory dual of a gauge theory with reduced supersymmetry. Motivated by their approach, we perturb the $\N=8$ theory living on a set of N M2 branes to $\N=2$, by adding fermion mass terms. We obtain M-theory duals corresponding to M2 branes polarized into M5 branes, in $AdS_4 \times S_7$. In the course of doing this we come across an interesting feature of the M5 brane action, which we comment on. Depending on the fermion masses we obtain discrete or continuous vacua for our theories. We also obtain dual descriptions for domain walls, instantons and condensates.

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