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.

Supersymmetric gauge theories with decoupled operators and chiral ring stability / Benvenuti, Sergio; Giacomelli, Simone. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 119:25(2017), pp. 1-5. [10.1103/PhysRevLett.119.251601]

Supersymmetric gauge theories with decoupled operators and chiral ring stability

Benvenuti, Sergio;
2017-01-01

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.
2017
119
25
1
5
251601
https://arxiv.org/abs/1706.02225
Benvenuti, Sergio; Giacomelli, Simone
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/85990
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