Abstract
We analyze a recently proposed supersymmetry breaking mass deformation of the E1 superconformal fixed point in five dimensions which, at weak gauge coupling, leads to pure SU(2) Yang-Mills and which was conjectured to lead to an interacting CFT at strong coupling. We provide an explicit geometric construction of the deformation using brane-web techniques and show that for large enough gauge coupling a global symmetry is spontaneously broken and the theory enters a new phase which, at infinite coupling, displays an instability. The Yang-Mills and the symmetry broken phases are separated by a phase transition. Depending on the structure of the potential, this can be first or second order.
Highlights
The jump across the h-axis affects only the U(1)R CS level and is understood perturbatively, in terms of gaugini becoming massless on the h-axis
We analyze a recently proposed supersymmetry breaking mass deformation of the E1 superconformal fixed point in five dimensions which, at weak gauge coupling, leads to pure SU(2) Yang-Mills and which was conjectured to lead to an interacting CFT at strong coupling
The Yang-Mills and the symmetry broken phases are separated by a phase transition
Summary
Let us focus on the moduli space of the E1 theory and on its supersymmetric deformations. At finite gauge coupling the [1, 1] 7-branes get displaced due to the finite length (2, 0) 5-brane and the (1, 1) strings connecting the 7-branes get stretched and acquire a minimal length of order 1/g2, see figure 10 This is Higgsing for the SU(2)I theory living on the [1, 1] 7-branes, which is broken to U(1)I , and corresponds to give a VEV ∼ 1/g2 to the lowest component of the (background) vector multiplet, φ(ab). We report in figure 11 its description both at weak coupling and at infinite coupling As for the latter, one see that the Higgs branch is lifted, since the (1, 1) 5-brane cannot anymore be moved apart along the transverse space, in agreement with field theory analysis.
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