The \(GL(11)\)-symplectic fermion correspondence

DOI10.1016/j.nuclphysb.2009.02.013zbMath1194.81194arXiv0812.2835OpenAlexW1531698778MaRDI QIDQ993213

Peter B. Rønne, Thomas Creutzig

Publication date: 10 September 2010

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

Full work available at URL: https://arxiv.org/abs/0812.2835

zbMATH Keywords

Wess-Zumino-Novikov-Witten modelfree model of symplectic fermions

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometry and quantization, symplectic methods (81S10) Superalgebras (17A70)

Related Items (20)

Fermionic coset, critical level \(\mathcal W_4^{(2)}\)-algebra and higher spins ⋮ The sigma model on complex projective superspaces ⋮ Logarithmic conformal field theory, log-modular tensor categories and modular forms ⋮ Coset constructions of logarithmic \((1, p)\) models ⋮ Higgs and Coulomb branches from vertex operator algebras ⋮ From world-sheet supersymmetry to super target spaces ⋮ \(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain ⋮ Branes in the OSP\((1|2)\) WZNW model ⋮ Relating the archetypes of logarithmic conformal field theory ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Supergroup-extended super Liouville correspondence ⋮ The continuum limit of gl(\(M|N\)) spin chains ⋮ The FZZ duality with boundary ⋮ Vertex algebras at the corner ⋮ On the \( gl(1 | 1)\) Wess-Zumino-Witten model ⋮ The mock modular data of a family of superalgebras ⋮ A braided monoidal category for free super-bosons ⋮ Yangian superalgebras in conformal field theory ⋮ Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras ⋮ Schur-Weyl duality for Heisenberg cosets

Cites Work

• Boundary spectra in superspace \(\sigma \)-models
• The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
• Boundary correlators in supergroup WZNW models
• A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part I: algebraic structures in the spin chain. The Brauer algebra
• A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part II: The boundary spectrum
• Geometry of branes on supergroups
• The \(gl(1|1)\) super-current algebra: the rôle of twist and logarithmic fields
• The large \(N\) limit of superconformal field theories and supergravity
• D-branes in Gepner models
• Boundary states in \(c=-2\) logarithmic conformal field theory
• Boundary states for WZW models
• Boundary states and symplectic fermions
• Large \(N\) field theories, string theory and gravity
• Branes in the \(\text{GL}(1| 1)\) WZNW model
• The logarithmic triplet theory with boundary
• From boundary to bulk in logarithmic CFT
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Boundary logarithmic conformal field theory.
• Symplectic fermions
• Modular transformation and boundary states in logarithmic conformal field theory

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