Geometry of branes on supergroups

DOI10.1016/j.nuclphysb.2008.10.006zbMath1194.81193arXiv0809.0468OpenAlexW2100710556MaRDI QIDQ993132

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/0809.0468

zbMATH Keywords

Wess-Zumino-Novikov-Witten models

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Superalgebras (17A70)

Related Items (15)

FZZ-triality and large \(\mathcal{N} = 4\) super Liouville theory ⋮ Fermionic coset, critical level \(\mathcal W_4^{(2)}\)-algebra and higher spins ⋮ From world-sheet supersymmetry to super target spaces ⋮ Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\) ⋮ Branes in the OSP\((1|2)\) WZNW model ⋮ Coset graphs in bulk and boundary logarithmic minimal models ⋮ Super Poisson-Lie symmetry of the \(GL(1|1)\) WZNW model and worldsheet boundary conditions ⋮ Relating the archetypes of logarithmic conformal field theory ⋮ Supergroup-extended super Liouville correspondence ⋮ Integrability of Green-Schwarz sigma models with boundaries ⋮ The FZZ duality with boundary ⋮ Yangian in the twistor string ⋮ Edge states and conformal boundary conditions in super spin chains and super sigma models ⋮ Yangian superalgebras in conformal field theory ⋮ The \(GL(11)\)-symplectic fermion correspondence

Cites Work

• Structure constants of the \(\mathrm{OSp}(1|2)\) WZNW model
• Conformal field theory
• Non-Abelian bosonization in two dimensions
• Classification of real simple Lie superalgebras and symmetric superspaces
• The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
• Boundary correlators in supergroup WZNW models
• A sketch of Lie superalgebra theory
• Reidemeister torsion, the Alexander polynomial and \(U(1,1)\) Chern-Simons theory
• The geometry of WZW branes
• D-branes and \(K\)-theory
• Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres
• Classification of infinite dimensional irreducible modules for type I Lie superalgebras
• On the \(\text{SU}(2| 1)\) WZNW model and its statistical mechanics applications
• Branes in the \(\text{GL}(1| 1)\) WZNW model
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• Classification of real simple Lie superalgebras of classical type
• Merits and demerits of the orbit method
• BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY
• AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY
• Lie superalgebras
• D-branes in group manifolds
• Symplectic fermions
• Integrable highest weight modules over affine superalgebras and Appell's function
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