An extension of the twistor concept to string theory

Journal article, 1989

A division algebra twistor transform for the variables of a bosonic string in D=3,4,6 or 10 is proposed. The transform is also extended with the coordinates of an “internal” Minkowski space to obtain full symmetry between internal and external spinor indices. The constraint algebra contains a Virasoro generator coupled to a Kac-Moody algebra of Lorentz transformations. The full algebra is field dependent due to non-bilinearity of the hamiltonian.