Superspace conformal field theory

Abstract

Conformal sigma models and WZW models on coset superspaces provide important examples of logarithmic conformal field theories. They possess many applications to problems in string and condensed matter theory. We review recent results and developments, including the general construction of WZW models on type I supergroups, the classification of conformal sigma models and their embedding into string theory.

50 pages; one table; several figures; Invited Review for a Special Edition of Journal of Physics A on Logarithmic Conformal Field Theory; v2: Included more explicit reference to superconformal Lie algebras

References in corpus (25)

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• B-field in AdS(3)/CFT(2) Correspondence and Integrability
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Cited by in corpus (24)

• Branes And Supergroups
• Entanglement in non-unitary quantum critical spin chains
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• The periodic sl(2|1) alternating spin chain and its continuum limit as a bulk Logarithmic Conformal Field Theory at c=0
• Perturbing the symmetric orbifold from the worldsheet
• The plane-wave spectrum from the worldsheet
• Fusion rules for the logarithmic $N=1$ superconformal minimal models II: including the Ramond sector
• Super instanton counting and localization
• Quantum Integrable Systems from Supergroup Gauge Theories
• On the Spectrum of Superspheres
• On conformal field theories based on Takiff superalgebras
• Positive Energy Unitary Irreducible Representations of the Superalgebras $osp(1|2n,R)$ and Character Formulae
• Representations of the Nappi--Witten vertex operator algebra
• Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Mock Modular Index of M2-M5 Brane System
• Linking loops in ABJM and refined theory
• Pieri type rules and $GL(2|2)$ tensor products
• Generalized Calogero-Moser system and supergroup gauge origami
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Strong gauging or decoupling ghost matter
• Topological Field Theory and Stochastic Dynamics
• High-Gradient Operators in the psl(2|2) Gross-Neveu Model