Generalized dynamical spin chain and 4-loop integrability in \({\mathcal N}=6\) superconformal Chern-Simons theory

DOI10.1016/j.nuclphysb.2009.10.011zbMath1203.82060arXiv0904.4677OpenAlexW2166417445MaRDI QIDQ620677

Dongsu Bak, Soo-Jong Rey, Hyunsoo Min

Publication date: 19 January 2011

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

Full work available at URL: https://arxiv.org/abs/0904.4677

zbMATH Keywords

pseudo-momentum diagonalization

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) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Superalgebras (17A70) Centralizing and normalizing extensions (16S20)

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Uses Software

• AMBRE

Cites Work

• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Integrable spin chain in superconformal Chern-Simons theory
• Integrable spin chain of superconformal \(U(M) \times \overline{U(N)}\) Chern-Simons theory
• The \(\mathrm{AdS}_4 \times \mathbb C\mathbb P_3\) string and its Bethe equations in the near plane wave limit
• The Bethe ansatz for superconformal Chern-Simons
• Planar \(\mathcal N= 4\) gauge theory and the Hubbard model
• Automatized analytic continuation of Mellin-Barnes integrals
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• A three-loop test of the dilatation operator in \(\mathcal N=4\) SYM
• Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
• On the resolution of singularities of multiple Mellin-Barnes integrals
• The \(SU(2)\times SU(2)\) sector in the string dual of \({\mathcal N}=6\) superconformal Chern-Simons theory
• Finite-size corrections in the \(\mathrm{SU}(2)\times \mathrm{SU}(2)\) sector of type IIA string theory on \(\mathrm{AdS}_4\times\mathbb CP^3\)
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• The \(N=4\) SYM integrable super spin chain
• The massless two-loop two-point function
• The \(su(2| 3)\) dynamic spin chain
• The large-\(N\) limit of superconformal field theories and supergravity
• Operators with large R-charge in \(N=4\) Yang-Mills theory
• Finite-size effects from giant magnons