Bosonic sector of D=11 superstring action and the critical dimension.   Toy model
  Bosonic model inspired by D=11 superstring action is investigated. 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 are absent for the case D=27. 
A.A. Deriglazov