Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-16
Nucl.Phys.B822:135-171,2009
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, 5 figures, harvmac; v2: references added, minor corrections
Scientific paper
10.1016/j.nuclphysb.2009.07.011
We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral field with superpotential. We consider the full supersymmetric moduli space of these theories obtained by adding all allowed chiral operators. These include higher-dimensional operators that introduce a field-dependence for the gauge coupling. We show how Feynman diagram/matrix model/string theoretic techniques can all be used to compute the IR glueball superpotential. Moreover, in the limit of turning off the superpotential, this leads to a deformation of N=2 Seiberg-Witten theory. In the case where the superpotential drives the squared gauge coupling to a negative value, we find that supersymmetry is spontaneously broken, which can be viewed as a novel mechanism for breaking supersymmetry. We propose a new duality between a class of N=1 supersymmetric U(N) gauge theories with field-dependent gauge couplings and a class of U(N) gauge theories where supersymmetry is softly broken by nonzero expectation values for auxiliary components of spurion superfields.
Aganagic Mina
Beem Christopher
Seo Jihye
Vafa Cumrun
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