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Superstrings on \(\text{AdS}_3\) and symmetric products. (English) Zbl 0990.81610

Summary: Some properties of \(N=2\) superstrings on \(\text{AdS}_3\times N\) are studied. Their spectrum has the same pattern as 2-\(d\) CFTs in the moduli space of symmetric products \(M^p/S_p\), where \(p\) is associated with the number of long fundamental strings required to construct the \(\text{AdS}_3\) background, and \(M\) is the spacetime CFT corresponding to short string excitations of a single long string. Worldsheet operators associated with \(w\) long strings correspond to twisted sectors of \(M^p/S_p\).

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E99 Unified, higher-dimensional and super field theories