String Solutions in General Backgrounds

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Motivated by the recent interest in the different aspects of the string/field theory duality, we describe an approach for obtaining exact string solutions in general backgrounds, based on two types of string embedding, allowing for separation of the worldsheet variables.
LaTeX, 21 pages, no figures. Presented at Third Advanced Research Workshop "Gravity, Astrophysics and Strings at the Black Sea" (GAS@BS 2005), Kiten, Bulgaria, 13-20 June, 2005; V2: references added; V3: references added

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