a-Maximization, Global Symmetries and RG Flows

Abstract

We construct the a-function of [1] for general F-term perturbations of a 3+1 dimensional N=1 SCFT. We use this construction to argue that the central charge a always decreases along the corresponding RG flows, and discuss some other applications.

22 pages

References in corpus (8)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Evidence for the Strongest Version of the 4d a-Theorem, via a-Maximization Along RG Flows
• RG Fixed Points and Flows in SQCD with Adjoints
• Lagrange Multipliers and Couplings in Supersymmetric Field Theory
• N=1 RG Flows, Product Groups, and a-Maximization
• A counterexample to the a-'theorem'
• On Conformal Deformations II
• Higgsing and Superpotential Deformations of ADE Superconformal Theories

Cited by in corpus (9)

• Holographic Entanglement Entropy in Lovelock Gravities
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Derivation of the exact expression for the D function in N=1 SQCD
• Accidents in (0,2) Landau-Ginzburg theories
• Minimal Distances Between SCFTs
• (Delta a) curiosities in some 4d susy RG flows
• Equivalence of A-Maximization and Volume Minimization
• Superspace formulation of the local RG equation
• Comments on asymptotic safety in four-dimensional $\mathcal{N}=1$ supersymmetric gauge theories