
TL;DR
This paper proposes a generalized Dirac form for the gonihedric string equation, deriving a new equation with symmetric solutions, non-Jacobian form, and explicit mass spectrum formulas indicating nonzero string tension.
Contribution
Introduces a novel generalized Dirac equation for gonihedric strings with symmetric solutions and non-Jacobian form, expanding theoretical understanding of string equations.
Findings
Derived explicit mass spectrum formulas with nonzero string tension.
Found a new symmetric solution to Majorana commutation relations.
Discussed dual transformations of the Dirac equation and its generalizations.
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 . We discuss also new dual transformation of the Dirac equation and of the proposed generalizations.
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