String action with multiplet of Θ-terms and the hidden Poincaré symmetry Original Research Article

We study string action with multiplet of Θ-terms added, which turns out to be closely related with the bosonic sector of D=11 superstring action . 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 Poincaré generators are absent for the case D=27.