Twistor description of world surfaces and the action integral of strings
O. E. Gusev, A. A. Zheltukhin · Journal of Experimental and Theoretical Physics Letters · 1996
The Cartan-Penrose twistor representation for light-like vectors is generalized to the case of isotropic bivectors describing the world sheets of null-strings. A new twistor formulation of the action of a string is constructed as a sheet integral of a differential 2-form which is quadratic in the twistor variables. The geometric nature of the mechanism for generating string tension is discussed.