N=2 Superconformal Symmetry in Super Coset Models

Details N=2 Superconformal Symmetry in Super Coset Models N=2 Superconformal Symmetry in Super Coset Models

2009-07-22

arxiv.org/abs/0907.3902v2

Phys.Rev.D80:066010,2009

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; v2: Typos corrected, three references added

Scientific paper

10.1103/PhysRevD.80.066010

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.

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