Operators with large R-charge in \(N=4\) Yang-Mills theory

DOI10.1006/aphy.2002.6293zbMath1014.81041arXivhep-th/0205066OpenAlexW2148488118MaRDI QIDQ1851253

David J. Gross, Andrei Mikhailov, Radu Roiban

Publication date: 16 December 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0205066

zbMATH Keywords

supersymmetric Yang-Mills theorystring theoryanomalous dimensionsperturbative computationsAdS/CFT duality't Hooft coupling constantstring worldsheet sigma-model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (38)

BMN operators and superconformal symmetry ⋮ SYM description of SFT Hamiltonian in a \(pp\)-wave background ⋮ Twisted magnons ⋮ Spin bit models from non-planar \(N=4\) SYM. ⋮ New aspects of the BMN correspondence beyond the planar limit ⋮ A three-loop test of the dilatation operator in \(\mathcal N=4\) SYM ⋮ Note on plane wave quantum mechanics ⋮ Generalized dynamical spin chain and 4-loop integrability in \({\mathcal N}=6\) superconformal Chern-Simons theory ⋮ The dilatation operator of conformal \(N=4\) super-Yang-Mills theory ⋮ On three-point correlation functions in the gauge/gravity duality ⋮ SYM description of \(pp\)-wave string interactions: singlet sector and arbitrary impurities ⋮ Gauge/string duality for QCD conformal operators ⋮ Review of AdS/CFT integrability, chapter I.2: The spectrum from perturbative gauge theory ⋮ Operator mixing and the AdS/CFT correspondence ⋮ The complete one-loop dilatation operator of \(N=4\) super-Yang-Mills theory ⋮ Operator dimensions from moduli ⋮ Open + closed string field theory from gauge fields ⋮ On two-fermion BMN operators ⋮ Gauge theory description of compactified pp-waves ⋮ Light-cone Wilson loops and the string/gauge correspondence ⋮ YANGIAN SYMMETRIES OF MATRIX MODELS AND SPIN CHAINS: THE DILATATION OPERATOR OF ${\mathcal N} = 4$ SYM ⋮ Wilson loop renormalization group flows ⋮ Selected topics in the large quantum number expansion ⋮ Graviton-Scalar Interaction in the pp-Wave Background ⋮ Chiral limit of \( \mathcal{N} = 4\) SYM and ABJM and integrable Feynman graphs ⋮ \(\mathcal{N} = 2\) conformal SYM theories at large \(\mathcal{N}\) ⋮ INTEGRABILITY IN QCD AND BEYOND ⋮ \(pp\)-wave/Yang-Mills correspondence: An explicit check ⋮ On string integrability: a journey through the two-dimensional hidden symmetries in the Ads/CFT dualities ⋮ \(\mathcal N = 2\) super Yang-Mills and the \(XXZ\) spin chain ⋮ THE DILATATION OPERATOR OF $\mathcal{N}=4$ SYM AND CLASSICAL LIMITS OF SPIN CHAINS AND MATRIX MODELS ⋮ Open spin chains for giant gravitons and relativity ⋮ The plane-wave/super Yang-Mills duality ⋮ On operator mixing in \(N=4\) SYM ⋮ Penrose limit of a non-supersymmetric RG fixed point ⋮ BMN correlators and operator mixing in \(N=4\) super-Yang-Mills theory ⋮ BMN gauge theory as a quantum mechanical system ⋮ \(pp\)-wave light-cone superstring field theory

Cites Work

• Gauge theory correlators from non-critical string theory
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• More on correlators and contact terms in \(N=4\) SYM at order \(g^4\)
• The large-\(N\) limit of superconformal field theories and supergravity
• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• Non-renormalization of two and three point correlators of \(\mathcal N=4\) SYM in \(\mathcal N=1\) superspace.
• Wilson loops in \(\mathcal N=4\) supersymmetric Yang-Mills theory
• Superspace approach to anomalous dimensions in \(N=4\) SYM
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background

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