Superconformal Invariants and Extended Supersymmetry

Abstract

The superconformal invariants in analytic superspace are found. Superconformal invariance is shown to imply that the Green's functions of analytic operators are invariant holomorphic sections of a line bundle on a product of certain harmonic superspaces. It is argued that the correlation functions for a class of sufficiently low dimension gauge invariant operators in N=2 and N=4 supersymmetric Yang-Mills theory can be evaluated up to constants.

10p, latex

References in corpus (3)

• New N=2 Superconformal Field Theories in Four Dimensions
• Instantons and recursion relations in N=2 Susy gauge theory
• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory

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• Four-point functions in N=4 supersymmetric Yang-Mills theory at two loops
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• Covariant Approaches to Superconformal Blocks
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• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• On Non-renormalization and OPE in Superconformal Field Theories
• Explicit construction of nilpotent covariants in N=4 SYM
• 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${}_4$
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• Extremal and next-to-extremal n-point correlators in four-dimensional SCFT
• Yangian Symmetry of smooth Wilson Loops in N=4 super Yang-Mills Theory
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Systematics of Quarter BPS operators in N=4 SYM
• Four-point functions in N=2 superconformal field theories
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• Supersymmetric null-surfaces
• Absorption of dilaton partial waves by D3-branes
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
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• Superembedding methods for 4d N-extended SCFTs
• Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills
• A wide class of four point functions of BPS operators in N=4 SYM at order g^4
• AdS/SCFT in Superspace
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
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• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• New bi-harmonic superspace formulation of $4D,\mathcal{N}=4$ SYM theory
• SU(4) harmonic superspace and supersymmetric gauge theory
• The Non-Perturbative $\mathcal{N}=2$ SUSY Yang-Mills Theory from Semiclassical Absorption of Supergravity by Wrapped D Branes