N=2 Superconformal Symmetry in Super Coset Models

Abstract

We extend the Kazama-Suzuki construction of models with N=(2,2) world-sheet supersymmetry to cosets S/K of supergroups. Among the admissible target spaces that allow for an extension to N=2 superconformal algebras are some simple Lie supergroups, including PSL(N|N). Our general analysis is illustrated at the example of the N=1 WZNW model on GL(1|1). After constructing its N=2 superconformal algebra we determine the (anti-)chiral ring of the theory. It exhibits an interesting interplay between world-sheet and target space supersymmetry.

7 pages; v2: Typos corrected, three references added

References in corpus (7)

• Worldsheet correlators in AdS(3)/CFT(2)
• Branes in the GL(1|1) WZNW-Model
• Boundary Spectra in Superspace Sigma-Models
• The GL(1|1)-symplectic fermion correspondence
• Boundary Correlators in Supergroup WZNW Models
• Geometry of branes on supergroups
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds

Cited by in corpus (8)

• Branes in the GL(1|1) WZNW-Model
• Superspace conformal field theory
• From world-sheet supersymmetry to super target spaces
• Branes in the OSP(1|2) WZNW model
• The FZZ duality with boundary
• Topological String on OSP(1|2)/U(1)
• Yangian Superalgebras in Conformal Field Theory
• Generalized K$\ddot{a}$hler Geometry in Kazama-Suzuki coset models