Gonihedric String Equation II
1998
Arguing that the equation for the gonihedric string should have a generalized Dirac form, we found a new equation which corresponds to a symmetric solution of the Majorana commutation relations and has non-Jacobian form. The corresponding generalized gamma-matrices are anticommuting and guarantee unitarity at all orders of v/c. The previous solution was in a Jacobian form and admits unitarity at zero order. Explicit formulas for the mass spectrum lead to nonzero string tension M 2 j ≥ M2 (j + 1) 2. The equation does not admit tachyonic solutions, but still has unwanted ghost solutions. We discuss also new dual transformation of the Dirac equation and of the proposed generalizations.