## Algebraic characterization of vector supersymmetry in topological field theories |

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adjoint representation Algebraic Characterization antifield cocycle antifield dependent cocycle b-c ghost system badAa Brasileiro de Pesquisas broken Ward identity BRST cohomology classes BRST exact BRST invariant energy-momentum BRST transformations BRST trivial C.A.G. Sasaki Centro Brasileiro Chern-Simons model classical action contact terms dim gh dimension and ghost dimensional BF model equivariant cohomology fact field content gauge condition gauge fields gauge fixing condition gauge group ghost number Henneaux integrated local polynomial invariant energy-momentum tensor invariant polynomials Journ L.C. Queiroz Vilar Lagrangian multipliers Landau gauge Landau ghost equation Lett linearly broken Ward Lorentz indices momentum tensor Moritsch Phys polynomial E~2 purely algebraic quantized quantum fields quantum numbers reduced action right hand side rigid gauge invariance Rio de Janeiro S.P. Sorella shifted antifields superspace susy Ward identity symmetry Tataru three dimensional Chern-Simons Topological Field Theories topological models topological theories topological vector susy type theories vector cocycle fi-1 vector susy Ward Yang-Mills action Yang-Mills theory