4 citations · 4 across the 3 of their papers we have counts for
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Even and odd geometries on supermanifolds
M. Asorey, P. M. Lavrov
We analyze from a general perspective all possible supersymmetric generalizations of symplectic and metric structures on smooth manifolds. There are two different types of structur…
New Construction of Δ-Operator in Field-Antifield Formalism
P. M. Lavrov, O. V. Radchenko
It is proven that the nilpotent -operator in the field-antifield formalism can be constructed in terms of an antisymplectic structure only.
Symplectic geometries on supermanifolds
P. M. Lavrov, O. V. Radchenko
Extension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry…
Covariant Quantization with Extended BRST Symmetry
B. Geyer, D. M. Gitman, P. M. Lavrov
A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known…