Universality of the Operator Product Expansions of SCFT_4

Abstract

We study the operator product algebra of the supercurrent J and Konishi superfield K in four-dimensional supersymmetric gauge theories. The Konishi superfield appears in the JJ OPE and the algebra is characterized by two central charges c and c' and an anomalous dimension h for K. In free field (one-loop) approximation, c~3N_v+N_χand c'~N_χ, where N_v and N_χare, respectively, the number of vector and chiral multiplets in the theory. In higher order c, c' and h depend on the gauge and Yukawa couplings and we obtain the two-loop contributions by combining earlier work on c with our own calculations of c'. The major result is that the radiative corrections to the central charges cancel when the one-loop beta-functions vanish, suggesting that c and c' (but not h) are invariant under continuous deformations of superconformal theories. The behavior of c and c' along renormalization group flows is studied from the viewpoint of a c-theorem.

LaTeX file, 11 pages, no figure

References in corpus (10)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• $N=1$ supersymmetry and the three loop gauge beta function
• A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
• Operator product expansions in four-dimensional superconformal field theories
• All-order Finiteness in N=1 SYM Theories: Criteria and Applications
• Tests for C-theorems in 4D
• Conformal Symmetry and the Chiral Anomaly

Cited by in corpus (65)

• Towards a derivation of holographic entanglement entropy
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Beyond eta/s = 1/4pi
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• The Supergravity Dual of N=1 Super Yang-Mills Theory
• New Vacua of Gauged N=8 Supergravity
• Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
• On stringy AdS_5 x S^5 and higher spin holography
• Holographic Hydrodynamics with a Chemical Potential
• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• Sicilian gauge theories and N=1 dualities
• Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Anomalous dimensions in N=4 SYM theory at order g^4
• Higher Spin Symmetry and N=4 SYM
• Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills
• Superconformal Symmetry and Correlation Functions
• A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
• The Four-Loop Konishi in N=4 SYM
• On Non-renormalization and OPE in Superconformal Field Theories
• OPEs and 3-point correlators of protected operators in N=4 SYM
• On the OPE of 1/2 BPS Short Operators in N=4 SCFT${}_4$
• N=1 Superconformal Symmetry in Four Dimensions
• A Note on Anomalies in the AdS/CFT Correspondence
• Black holes in five-dimensional gauged supergravity with higher derivatives
• On Operator Mixing in N=4 SYM
• Current OPEs in Superconformal Theories
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• A note on composite operators in N=4 SYM
• Theory of higher spin tensor currents and central charges
• Progress in four-dimensional lattice supersymmetry
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• Superspace approach to anomalous dimensions in {\cal N}=4 SYM
• Higher Spins and Stringy AdS5xS5
• Operator mixing in N=4 SYM: The Konishi anomaly revisited
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• (Non-)perturbative tests of the AdS/CFT correspondence
• Logarithmic Corrections to the Entanglement Entropy
• Renormalization Group Flows from Five-Dimensional Supergravity
• Gravitational Axial Anomaly for Four Dimensional Conformal Field Theories
• Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly
• AdS/SCFT in Superspace
• 1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models
• Conformal Symmetry and the Chiral Anomaly
• Conformal Transformation Properties of the Supercurrent in Four Dimensional Supersymmetric Theories
• Weyl Anomaly and Initial Singularity Crossing
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Space-time dependent couplings in N=1 SUSY gauge theories: Anomalies and Central Functions
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Gauge-invariant correlation functions in light-cone superspace
• Noncentral extension of the $Ad{S}_5\times S^5$ superalgebra: supermultiplet of brane charges
• Electric/Magnetic Duality with Gauge Singlets
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Sum rules and three point functions
• Renormalization Group and Dynamics of Supersymmetric Gauge Theories
• Harmonic Analysis and Superconformal Gauge Theories in Three Dimensions from AdS/CFT Correspondence
• SL(2,Z) Multiplets in N=4 SYM Theory
• A note on the improvement ambiguity of the stress tensor and the critical limits of correlation functions
• Yang-Mills instantons vs. type IIB D-instantons
• Dynamics of D-brane Black Holes
• Rationality of the Anomalous Dimensions in N=4 SYM theory
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• Two-point functions for N=4 Konishi-like operators
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM