New N=1 Superconformal Field Theories In Four Dimensions

Abstract

We construct a large new family of four-dimensional N=1 superconformal field theories by coupling Gaiotto's T_N theories to N=1 vector multiplets. In particular, we consider theories in which various T_N blocks are linked together via bifundamental and adjoint chiral superfields, with no superpotential. We find that while some of these constructions appear to give new strongly coupled SCFTs, others lead to violations of the a-theorem, and thus do not appear to be good interacting theories.

25 pages, 15 figures

References in corpus (3)

• On Renormalization Group Flows in Four Dimensions
• Comments on scaling limits of 4d N=2 theories
• Phases of N=1 supersymmetric chiral gauge theories

Cited by in corpus (23)

• The Constraints of Conformal Symmetry on RG Flows
• Four-Dimensional SCFTs from M5-Branes
• New N=1 Dualities
• Quiver Tails and N=1 SCFTs from M5-branes
• M5 brane and four dimensional N=1 theories I
• A review of the T_N theory and its cousins
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Charting Class ${\mathcal{S}}_k$ Territory
• RG-Whitham dynamics and complex Hamiltonian systems
• Chiral theories of class S
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Linear Quivers and N=1 SCFTs from M5-branes
• New Directions in Bipartite Field Theories
• Holographic Flows in non-Abelian T-dual Geometries
• Scale invariance vs conformal invariance
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• $\mathcal{N}=1$ superconformal theories with $D_N$ blocks
• Infinitely many N=1 dualities from $m+1-m=1$
• Confinement and duality in supersymmetric gauge theories
• Line operators from M-branes on compact Riemann surfaces