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Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent BRST symmetries

Bodo Geyer·Dietmar Mülsch
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Abstract

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. The superalgebra os0(1,2) is considered as subalgebra of sl(1,2); the latter may be considered as the algebra of generators of the conformal group in a superspace with two anticommuting coordinates. The mass-dependent (anti)BRST symmetries of proper solutions of the quantum master equations in the osp(1,2)-covariant formalism are realized in that superspace as invariance under translations combined with mass-dependent special conformal transformations. The Sp(2) symmetry - in particular the ghost number conservation - and the "new ghost number" conservation are realized as invariance under symplectic rotations and dilatations, respectively. The transformations of the gauge fields - and of the full set of necessarily required (anti)ghost and auxiliary fields - under the superalgebra sl(1,2) are determined both for irreducible and first-stage reducible theories with closed gauge algebra.

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Bodo Geyer, Dietmar Mülsch. 2000-02-11. Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent BRST symmetries. https://doi.org/10.1063/1.1288496

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