Abstract

We consider strings living in [Formula: see text] with nonzero [Formula: see text]-field. By using specific ansatz for the string embedding, we obtain a class of solutions corresponding to strings moving in the whole ten-dimensional space–time. For the [Formula: see text] subspace, these solutions are given in terms of incomplete elliptic integrals. For the two three-spheres, they are expressed in terms of Lauricella hypergeometric functions of many variables. The conserved charges, i.e. the string energy, spin and angular momenta, are also found.

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