Doubly Supersymmetric Geometric Approach for Heterotic String: from Generalized Action Principle to Exactly Solvable Nonlinear Equations
Abstract
Description
The previously proposed generalized action principle approach to supersymmetric extended objects is considered in some details for the case of heterotic string in $D=3, 4, 6 ~and~ 10$ space--time dimensions. The proof of the 'off--shell' superdiffeomorphism invariance of the generalized action is presented. The doubly supersymmetric geometric approach to heterotic string is constructed on the basis of generalized action principle (instead of the geometrodynamic condition, used for this previously). It is demonstrated that $D=3$ heterotic string is described by $n=(1,0)$ supersymmetric generalization of the nonlinear Liouville equation.
25 pages. LATEX. Submitted to the Proc. of the Austrian-- Ukrainian Workshop on Mathematical Physics, Rakhov, Ukraine, 1995, September 11-16
25 pages. LATEX. Submitted to the Proc. of the Austrian-- Ukrainian Workshop on Mathematical Physics, Rakhov, Ukraine, 1995, September 11-16