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Zbl 0635.53079
Hughston, L.P.; Shaw, W.T.
Classical strings in ten dimensions. (English)
[J] Proc. R. Soc. Lond., Ser. A 414, 423-431 (1987). ISSN 0080-4630

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.
[H.Rumpf]

MSC 2000:: *53C80 Appl. of global differential geometry to physics
83E99 Unified, higher-dimensional and super field theories
53C55 Complex differential geometry (global)
81T60 Supersymmetric field theories

Keywords: classical strings; string equations; conformal gauge; null curves

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