München 1997 – wissenschaftliches Programm

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantenfeldtheorie

MP 5.5: Fachvortrag

Mittwoch, 19. März 1997, 17:20–17:40, HS 110

Does Rationality imply Unitarity for N=2 Superconformal Field Theories? — •W. Eholzer and M.R. Gaberdiel — Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, U. K.

We demonstrate that all rational models of the N=2 super Virasoro algebra are unitary. Our arguments are based on three different methods: we determine Zhu’s algebra A( H₀) explicitly for certain theories, we analyse the modular properties of some of the vacuum characters, and we use the coset realisation of the algebra in terms of su(2) and two free fermions.

Some of our arguments generalise to Kazama-Suzuki models indicating that all rational N=2 supersymmetric models might be unitary.

0.5cm More details can be found in the following paper:

0.3cmW. Eholzer, M.R. Gaberdiel, Unitarity of Rational N=2 Superconformal Theories, preprint DAMTP-96-06, Commun. Math. Phys. (to appear) (hep-th/9601163)