No go for a flow

Abstract

We prove that a very large class of $15502$ general Argyres-Douglas theories cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song supersymmetry enhancement mechanism. We do so by developing a computer program which brute-force lists, for any given 4d $\mathcal{N}=2$ superconformal theory ${\mathcal{T}}_{\text{IR}}$, all possible UV candidate superconformal lagrangians ${\mathcal{T}}_{\text{UV}}$ satisfying some necessary criteria for the supersymmetry enhancement to happen. We argue that this is enough evidence to conjecture that it is impossible, in general, to find new examples of Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All lagrangians already known are, on the other hand, recovered and confirmed in our scan. Finally, we also develop another program to compute efficiently Coulomb branch spectrum, masses, couplings and central charges for $(G,G^{\prime })$ Argyres-Douglas theories of arbitrarily high rank.

arXiv comment37 pages, 2 figures, 15 tables, 3 ancillary files. version 2, accepted in JHEP

References in corpus (38)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• N=2 dualities
• An Index for 4 dimensional Super Conformal Theories
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• The Exact Superconformal R-Symmetry Maximizes a
• New N=2 Superconformal Field Theories in Four Dimensions
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• S-duality in N=2 supersymmetric gauge theories
• Superconformal Fixed Points with E_n Global Symmetry
• General Argyres-Douglas Theory
• Central charges of N=2 superconformal field theories in four dimensions
• N=1 Deformations and RG Flows of N=2 SCFTs
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• Wild Quiver Gauge Theories
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Lagrangians for generalized Argyres-Douglas theories
• More on the N=2 superconformal systems of type $D_p(G)$
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Classification of Argyres-Douglas theories from M5 branes
• Stress-tensor OPE in N=2 Superconformal Theories
• A "Lagrangian" for a non-Lagrangian theory
• Central charges and RG flow of strongly-coupled N=2 theory
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Classification of 4d N=2 gauge theories
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• RG flows with supersymmetry enhancement and geometric engineering
• N=1 conformal dualities
• A "Lagrangian" for the E7 Superconformal Theory
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• Landscape of Simple Superconformal Field Theories in 4d
• SUSY enhancement from T-branes
• Infrared enhancement of supersymmetry in four dimensions
• Flowing from 16 to 32 Supercharges
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Nilpotent Networks and 4D RG Flows
• The Geometry of SUSY Enhancement

Cited by in corpus (6)

• Higher Form Symmetries of Argyres-Douglas Theories
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories