English

Abelianization and Sequential Confinement in $2+1$ dimensions

High Energy Physics - Theory 2017-12-06 v2

Abstract

We consider the lagrangian description of Argyres-Douglas theories of type A2N1A_{2N-1}, which is a SU(N)SU(N) gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down to three dimensions, we find that the adjoint SQCD "abelianizes": in the infrared it is equivalent to a N=4\mathcal{N}=4 linear quiver theory. Moreover, we study the mirror dual: using a monopole duality to "sequentially confine" quivers tails with balanced nodes, we show that the mirror RG flow lands on N=4\mathcal{N}=4 SQED with NN flavors. These results provide a physical derivation of previous proposals for the three dimensional mirror of AD theories.

Keywords

Cite

@article{arxiv.1706.04949,
  title  = {Abelianization and Sequential Confinement in $2+1$ dimensions},
  author = {Sergio Benvenuti and Simone Giacomelli},
  journal= {arXiv preprint arXiv:1706.04949},
  year   = {2017}
}

Comments

45 pages, clarifications and sequential RG flow to the 3d mirror of A_3 theory added. JHEP version

R2 v1 2026-06-22T20:19:57.208Z