From world-sheet supersymmetry to super target spaces

Abstract

We investigate the relation between N=(2,2) superconformal Lie group WZNW models and Lie supergroup WZNW models. The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model. Moreover, the superconformal currents are expressed in terms of Lie superalgebra currents in the twisted theory. As applications, we find protected sectors and boundary actions in the supergroup sigma model. A special example is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model.

37 pages

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Cited by in corpus (11)

• Logarithmic Conformal Field Theory: Beyond an Introduction
• Massless particles on supergroups and AdS3 x S3 supergravity
• Supergroup - extended super Liouville correspondence
• Branes in the OSP(1|2) WZNW model
• W-Algebras Extending Affine gl(1|1)
• The FZZ duality with boundary
• A commutant realization of W^(2)_n at critical level
• Yangian Superalgebras in Conformal Field Theory
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins
• Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
• FZZ-triality and large $\mathcal{N}=4$ super Liouville theory