Supersymmetric Gauge Theories with Decoupled Operators and Chiral Ring Stability.
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In this article, a general way to complete supersymmetric theories with operators below the unitarity bound, adding gauge-singlet fields that enforce the decoupling of such operators, was proposed.Abstract:
We propose a general way to complete supersymmetric theories with operators below the unitarity bound, adding gauge-singlet fields that enforce the decoupling of such operators. This makes it possible to perform all usual computations, and to compactify on a circle. We concentrate on a duality between an N=1 SU(2) gauge theory and the N=2 A_{3} Argyres-Douglas theory, mapping the moduli space and chiral ring of the completed N=1 theory to those of the A_{3} model. We reduce the completed gauge theory to 3D, finding a 3D duality with N=4 supersymmetric QED (SQED) with two flavors. The naive dimensional reduction is instead N=2 SQED. Crucial is a concept of chiral ring stability, which modifies the superpotential and allows for a 3D emergent global symmetry.read more
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References
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Exact results for Wilson loops in superconformal Chern-Simons theories with matter
TL;DR: In this paper, the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter were computed using localization techniques, and the path-integral reduces to a non-Gaussian matrix model.
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The exact superconformal R-symmetry maximizes a
Kenneth Intriligator,Brian Wecht +1 more
TL;DR: In this paper, it was shown that the superconformal R-symmetry of any 4d SCFT is exactly determined by a maximization principle: it is the R symmetry, among all possibilities, which (locally) maximizes the combination of 't Hooft anomalies atrial(R)≡(9TrR3−3TrR)/32.
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New Phenomena in SU(3) Supersymmetric Gauge Theory
TL;DR: In this article, it was shown that the low-energy theory at this point is an N = 2 superconformal U(1) gauge theory containing both electrically and magnetically charged massless hypermultiplets.
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The exact superconformal R-symmetry extremizes Z
TL;DR: In this paper, the three sphere partition function of three dimensional theories with four supercharges and an R-symmetry is computed using localization, resulting in a matrix integral over the Cartan of the gauge group.
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Aspects of N = 2 supersymmetric gauge theories in three dimensions
Ofer Aharony,Amihay Hanany,Kenneth Intriligator,Nathan Seiberg,Matthew J. Strassler,Matthew J. Strassler +5 more
TL;DR: In this article, the authors consider general aspects of N = 2 gauge theories in three dimensions, including their multiplet structure, anomalies and non-renormalization theorems.