Constrained twistors principle of the string theory

Details Constrained twistors principle of the string theory Constrained twistors principle of the string theory

1997-04-09

arxiv.org/abs/hep-th/9704068v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX. Errors in eqs. (36)-(40) and some misprints corrected

Scientific paper

The new principle of constrained twistor-like variables is proposed for construction of the Cartan 1-forms on the worldsheet of the D=3,4,6 bosonic strings. The corresponding equations of motion are derived. Among them there are two well-known Liouville equations for real and complex worldsheet functions W(s,\bar s). The third one in which W(s,\bar s) is replaced by the quaternionic worldsheet function is unknown and can be thought of as that of the SU(2) nonlinear sigma-model governing the classical dynamics of the bosonic string in D=6.

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