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Basic properties of Fedosov supermanifolds
B. Geyer, P. M. Lavrov
Basic properties of even (odd) supermanifolds endowed with a connection respecting a given symplectic structure are studied. Such supermanifolds can be considered as generalization…
A note on the supersymplectic structure of triplextic formalism
Bodo Geyer, Peter Lavrov, Armen Nersessian
We equip the whole space of fields of the triplectic formalism of Lagrangian quantization with an even supersymplectic structure and clarify its geometric meaning. We also discuss…
Euclidean super Yang-Mills theory on a hyper-K"ahler manifold
D. M"ulsch, B. Geyer
The construction of a cohomological gauge theory on an hyper-K"ahler eight-fold, whose group theoretical descrition was given by Blau and Thompson, is performed explicitly.
Extended BRST quantization in general coordinates
B. Geyer, P. Lavrov, A. Nersessian
We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of "modified triplectic algebra" in general coordinates…
N_T=8, D=2 Hodge-type cohomological gauge theory with global SU(4) symmetry
B. Geyer, D. Mülsch
We show that the partially topological twisted N=16, D=2 super Yang-Mill theory gives rise to a N_T=8 Hodge-type cohomological gauge theory with global SU(4) symmetry.
Superspace interpretation of mass-dependent BRST symmetries in general gauge theories
Bodo Geyer, Dietmar Muelsch
A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1,2) is considered as subalgebra of the supe…