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We develop a BRST symmetric gaugeon formalism for the Abelian rank-2antisymmetric tensor field in the Lorentz breaking framework. The Lorentzbreaking is achieved here by considering a proper subgroup of Lorentz grouptogether with translation. In this scenario, the gaugeon fields together withthe standard fields of the Abelian rank-2 antisymmetric tensor theory get mass.In order to develop the gaugeon formulation for this theory in VSR, we firstintroduce a set of dipole vector fields as a quantum gauge freedom to theaction. In order to quantize the dipole vector fields, the VSR-modifiedgauge-fixing and corresponding ghost action are constructed as the classicalaction is invariant under a VSR-modified gauge transformation. Further, wepresent a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensorfield theory in VSR. The gauge structures of Fock space constructed with thehelp of BRST charges are also discussed.

Lorentz-violating gaugeon formalism for rank-2 tensor theory