On the all-order perturbative finiteness of the deformed \(\mathcal N=4\) SYM theory

DOI10.1016/j.nuclphysb.2006.08.011zbMath1215.81112arXivhep-th/0606284OpenAlexW2070811700MaRDI QIDQ881714

G. C. Rossi, Yassen S. Stanev, Emery Sokatchev

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/0606284

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items (7)

Effective action of \(\beta\)-deformed \(\mathcal N=4\) SYM theory: farewell to two-loop BPS diagrams ⋮ Multi-planarizable quivers, orientifolds, and conformal dualities ⋮ Marginal deformations of \(\mathcal{N} = 4 \text{ SYM}\) and open vs. closed string parameters ⋮ Conformal invariance = finiteness and beta deformed \(\mathcal N=4\) SYM theory ⋮ Conformal invariance in the Leigh-Strassler deformed \(N = 4\) SYM theory ⋮ Quantum symmetries and marginal deformations ⋮ Supergraphs and the cubic Leigh-Strassler model

Cites Work

• Surprises from the resolution of operator mixing in \(\mathcal N=4\) SYM
• Operator mixing in \(\mathcal N=4\) SYM: the Konishi anomaly revisited
• New results in the deformed \(\mathcal N=4\) SYM theory
• Anti de Sitter space and holography
• Exactly marginal operators and duality in four-dimensional \(N=1\) supersymmetric gauge theory
• Bonus symmetry and the operator product expansion of \(N=4\) super-Yang-Mills
• \(N=1\) supersymmetry and the three-loop anomalous dimension for the chiral superfield
• Renormalization
• Marginal and relevant deformations of \(N=4\) field theories and noncommutative moduli spaces of vacua.

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