Finiteness properties of the \(\mathcal N=4\) super-Yang-Mills theory in supersymmetric gauge

DOI10.1016/j.nuclphysb.2006.07.008zbMath1215.81069arXivhep-th/0605164OpenAlexW2166749222MaRDI QIDQ881700

Laurent Baulieu, Guillaume Bossard, Silvio Paolo Sorella

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0605164

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70)

Related Items

ULTRAVIOLET INFINITIES AND COUNTERTERMS IN SUPERSYMMETRIC THEORIES, On the irrelevance of the Gribov issue in \(\mathcal{N} = 4\) super Yang-Mills in the Landau gauge, Four twisted differential operators for the \({\mathcal N}=4\) superconformal algebra, Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries, Twisted superalgebras and cohomologies of the \(N=2\) superconformal quantum mechanics, Supersymmetric renormalization prescription in \(\mathcal N=4\) super-Yang-Mills theory, Perturbative linearization of super-Yang-Mills theories in general gauges, The ultra-violet question in maximally supersymmetric field theories

Cites Work

• New results on \(\mathcal N=4\) super-Yang-Mills theory
• Shadow fields and local supersymmetric gauges
• Special quantum field theories in eight and other dimensions
• Anti de Sitter space and holography
• Analysis of the superconformal cohomology structure of N=4 super Yang-Mills
• An algebraic criterion for the ultraviolet finiteness of quantum field theories
• Algebraic Renormalization
• Perturbative beta function on \(N=2\) super Yang-Mills theories
• Protected operators in N=2,4 supersymmetric theories