Four Dimensional Gravitational Backgrounds Based on N=4 c=4 Superconformal Systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LateX, 21pp

Scientific paper

10.1016/0370-2693(94)90323-9

We propose two new realizations of the N=4, $\hat{c}=4$ superconformal system based on the compact and non-compact versions of parafermionic algebras. The target space interpretation of these systems is given in terms of four-dimensional target spaces with non-trivial metric and topology different from the previously known four-dimensional semi-wormhole realization. The proposed $\hat{c}=4$ systems can be used as a building block to construct perturbatively stable superstring solutions with covariantized target space supersymmetry around non-trivial gravitational and dilaton backgrounds.

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