We continue the study of Lagrangian descriptions of $\mathcalN=2$ Argyres-Douglas theories. We use our recent interpretation in terms of sequential confinement to guess the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror. We find classes of four dimensional $\mathcalN=1$ quivers that flow in the infrared to generalized Argyres-Douglas theories, such as the $(A_k,A_kN+N-1)$ models. We study in detail how the $\mathcalN=1$ chiral rings map to the Coulomb and Higgs Branches of the $\mathcalN=2$ CFT's. The three dimensional mirror RG flows are shown to land on the $\mathcalN=4$ complete graph quivers. We also compactify to three dimensions the gauge theory dual to $(A_1,D_4)$, and find the expected Abelianization duality with $\mathcalN=4$ SQED with $3$ flavors.
Lagrangians for generalized Argyres-Douglas theories / Benvenuti, Sergio; Giacomelli, Simone. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2017:10(2017), pp. 1-40. [10.1007/JHEP10(2017)106]
Lagrangians for generalized Argyres-Douglas theories
Benvenuti, Sergio;
2017-01-01
Abstract
We continue the study of Lagrangian descriptions of $\mathcalN=2$ Argyres-Douglas theories. We use our recent interpretation in terms of sequential confinement to guess the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror. We find classes of four dimensional $\mathcalN=1$ quivers that flow in the infrared to generalized Argyres-Douglas theories, such as the $(A_k,A_kN+N-1)$ models. We study in detail how the $\mathcalN=1$ chiral rings map to the Coulomb and Higgs Branches of the $\mathcalN=2$ CFT's. The three dimensional mirror RG flows are shown to land on the $\mathcalN=4$ complete graph quivers. We also compactify to three dimensions the gauge theory dual to $(A_1,D_4)$, and find the expected Abelianization duality with $\mathcalN=4$ SQED with $3$ flavors.File | Dimensione | Formato | |
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