Comments on Bounds on Central Charges in N=1 Superconformal Theories

Abstract

The ratio of central charges in four-dimensional CFTs has been suggested by Hofman and Maldacena to lie within an interval whose boundaries are fixed by the number of supersymmetries. We compute this ratio for a set of interacting N=1 superconformal field theories which arise as RG fixed points of supersymmetric Yang-Mills theories with adjoint and fundamental matter. We do not find violations of the proposed bounds, which appear to be saturated by free field theories.

arXiv comment20 pages, 14 figures, harvmac, v2: a reference added

References in corpus (21)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Conformal collider physics: Energy and charge correlations
• Viscosity Bound Violation in Higher Derivative Gravity
• The Exact Superconformal R-Symmetry Maximizes a
• Viscosity Bound and Causality Violation
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• On Duality in Supersymmetric Yang-Mills Theory
• Central charges of N=2 superconformal field theories in four dimensions
• A Comment on Duality in N=1 Supersymmetric Non -- Abelian Gauge Theories
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• Central Charges and $U(1{)}_R$ Symmetries in $\mathcal{N}=1$ Super Yang-Mills
• 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
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Duality in Supersymmetric SU($N_c$) Gauge Theory with Two Adjoint Chiral Superfields
• Lagrange Multipliers and Couplings in Supersymmetric Field Theory
• A counterexample to the a-'theorem'
• A Mixed Phase of SUSY Gauge Theories from a-Maximization
• Modified Weak Energy Condition for the Energy Momentum Tensor in Quantum Field Theory

Cited by in corpus (6)

• Beyond eta/s = 1/4pi
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• The Hilbert Series of Adjoint SQCD
• Energy Flux Positivity and Unitarity in CFTs
• Conformal Data of Fundamental Gauge-Yukawa Theories
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials