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Classical strings in ten dimensions. (English) Zbl 0635.53079
The solution of the string equations of motion (in conformal gauge) can be reduced to the determination of a pair of null curves. Continuing earlier work on the 3-, 4- and 6-dimensional case the authors express the generic null curve in 10-dimensional complex flat space in terms of essentially freely specifiable functions. Extensive use is made of Cartan’s “pure spinors” in 10 dimensions. As a by-product of the investigation also the generic complex null curve in 8 dimensions is determined. The problem of imposing reality conditions on the string in the case of Lorentzian signature of the metric is left open.
Reviewer: H.Rumpf
53C80Applications of global differential geometry to physics
83E99Unified, higher-dimensional and super field theories
53C55Hermitian and Kählerian manifolds (global differential geometry)
81T60Supersymmetric field theories