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Physics  1998 

Gonihedric String Equation II

DOI: 10.1016/S0370-2693(98)00966-6

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Abstract:

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. Explicit formulas for the mass spectrum lead to nonzero string tension $M^{2}_{j} \geq M^{2}(j+1)^{2}$. We discuss also new dual transformation of the Dirac equation and of the proposed generalizations.

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