String propagator on the SL(2,R) curved space-time

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We investigate string propagation on the curved group manifold based on
the SL(2,R) Wess-Zumino-Witten model. From the character formula in the
representation theory we evaluate the closed string propagator for two
punctual boundary states and find that the configuration dependence is
characterized through the geodesic distance between them.

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