On T-Duality and Supersymmetry

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The interplay between T-duality and supersymmetry in string theory is explored. It is shown that T-duality is always compatible with supersymmetry and simply changes a local realization to a non-local one and vice versa. Non-local realizations become natural using classical parafermions of the underlying conformal field theory. Examples presented include hyper-kahler metrics and the backgrounds for the SU(2) X U(1) and SU(2)/U(1) X U(1) X U(1) exact conformal field theories.
To appear in the proceedings of the Conference on Gauge Theories, Applied Supersymmetry and Quantum Gravity, Leuven, 10-14 July 1995

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