arXiv subjects
Publications and source records attributed to Malgorzata Bakalarska.
A study of the partition function of a 3-dimensional scalar-vector model formally related via duality to the Rozansky-Witten topological sigma-model is presented. The partition function is shown to consist of such topological quantities of a 3-dimensional manifold M like a lattice sum, the Reidemeister-Ray-Singer torsion and the Massey product.
A description of the one-loop approximation formula for the partition function of a three-dimensional abelian version of the Donaldson-Witten theory is proposed. The one-loop expression is shown to contain such topological invariants of a three-dimensional manifold M like the Reidemeister-Ray-Singer torsion and Betti numbers.
Description of two three-dimensional topological quantum field theories of Witten type as twisted supersymmetric theories is presented. Low-energy effective action and a corresponding topological invariant of three-dimensional manifolds are considered.
A dual description of 3-dimensional topological Seiberg-Witten theory in terms of the Alexander invariant on manifolds obtained via surgery on a knot is proposed. The description directly follows from a low-energy analysis of the corresponding SUSY theory, in full analogy to the 4-dimensional case.
It is shown that the notoph propagator in the noncovariant longitudinal gauge is equivalent to the covariant Feynmann - like propagator.
The covariant propagator of the notivarg is found. It has the Feynmann - like form.
The interaction of the notivarg with an external Weyl current is discussed. The continuity equation for the Weyl current is obtained. The canonical analysis of the theory of the notivarg interacting with the external Weyl current is performed. The covariant propagator of the notivarg is found.