| Abstract: | Conclusions At the first glance, the investigation of the relativistic string model in d-dimensional space-time might appear to be a purely mathematical problem. However, this is not so. Bearing in mind that as yet there is no satisfactory quantum theory of strings, it would be interesting by analogy with nonlinear string models to develop an expansion with respect to 1/d as d  in string theory as well. Further, the geometrical theory of a string in d-dimensional space-time generated an entire series of nonlinear equations for which a general solution can be constructed explicitly. For the lower dimensions this was done in 5]. The method used there can probably by also generalized to the case of arbitrary d.It should be noted that our Eqs. (1.22) and (2.28) are not identical to the so-called string type equations constructed and solved explicitly in 14, 15] by means of group methods.Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 59, No. 2, pp. 209–219, May, 1984. |
