String action with multiplet of Theta-terms and the hidden Poincare symmetry

We study string action with multiplet of Theta -terms added, which turns ou t to be closely related with the bosonic sector of D = 11 superstring actio n [3,4]. Alternatively, the model can be considered as describing class of special solutions of the membrane. An appropriate set of variables is find, in which the light-cone quantization turns out to be possible. It is shown that anomaly terms in the algebra of the light-cone Poincare generators ar e absent for the case D = 27. (C) 2001 Elsevier Science B.V. All rights res erved.