Classical Strings in Ten Dimensions
Abstract
This article analyses the motion of a classical relativistic string in flat complex tendimensional spacetime. A general solution is presented for the equations of motion. The solution is given in terms of essentially freely specifiable functions. In deriving these results extensive use is made of spinors for ten dimensions, the basic properties of which are described in some detail. In particular, a significant role is played by those spinors in ten dimensions that satisfy the `purity' property of E. Cartan. These constitute an elevendimensional algebraic variety V in the sixteendimensional linear space of reduced (Weyl) spinors for the group SO(10). A general classical relativistic string in ten dimensions can be represented by means of a set of arbitrarily specifiable twicedifferentiable curves in V. As a byproduct of the investigation a general solution is also given for the equations of motion of a classical relativistic string in eightdimensional spacetime.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1987
 DOI:
 10.1098/rspa.1987.0152
 Bibcode:
 1987RSPSA.414..423H