Globally conformal invariant gauge field theory with rational correlation functions

DOI10.1016/j.nuclphysb.2003.08.006zbMath1058.81054arXivhep-th/0305200OpenAlexW2134871353MaRDI QIDQ1409203

Yassen S. Stanev, Ivan T. Todorov, Nikolay M. Nikolov

Publication date: 5 October 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0305200

zbMATH Keywords

operator product expansionssclar-field 4-point functionsymmetric traceless tensor fields

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (10)

Jacobi identity for vertex algebras in higher dimensions ⋮ Vertex algebras in higher dimensions and globally conformal invariant quantum field theory ⋮ Partial wave expansion and Wightman positivity in conformal field theory ⋮ Gauge symmetry and Howe duality in 4D conformal field theory models ⋮ Harmonic bilocal fields generated by globally conformal invariant scalar fields ⋮ Unitary positive-energy representations of scalar bilocal quantum fields ⋮ Conformal field theories with infinitely many conservation laws ⋮ ELLIPTIC THERMAL CORRELATION FUNCTIONS AND MODULAR FORMS IN A GLOBALLY CONFORMAL INVARIANT QFT ⋮ CONFORMAL INVARIANCE AND RATIONALITY IN AN EVEN DIMENSIONAL QUANTUM FIELD THEORY ⋮ INFINITE DIMENSIONAL LIE ALGEBRAS IN 4D CONFORMAL FIELD THEORY

Cites Work

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• Exactly solvable models of conformal-invariant quantum field theory in D- dimensional space
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory
• Implications of conformal invariance in field theories for general dimensions
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• Mass in quantum Yang-Mills theory (comment on a Clay millenium problem).
• Wave equations in conformal space
• Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n)
• Four-dimensional conformal field theory models with rational correlation functions
• Physical law and the quest for mathematical understanding
• Causally oriented manifolds and groups
• Conformal four point functions and the operator product expansion
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Rationality of conformally invariant local correlation functions on compactified Minkowski space
• Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in \(N=4\) SYM\(_4\)

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