A chain complex model for the free loop space of a connected compact oriented manifold is presented. Some algebraic operations on such a chain complex are studied, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra structures are proven. The gravity algebra on the equivariant homology of the free loop space is also constructed. This gives an algebraic and chain level model of ...

We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this analysis we obtain simultaneously the Stückelberg scalar term related to the explicit gaugebreaking effect and the new type of Wess-Zumino action related to...

We analyze the algebraic and geometric structures of deformations of Schwarz type topological field theories. Deformations of the Chern-Simons-BF theory and BF theories in n dimensions are analyzed. Two dimensionanl theory induces the Poisson structure and three dimensional theory induces the Courant algebroid structure on the target space as a sigma model. We generalize these structures to hig...

I extend upon the paper by Batalin and Marnelius, in which they show how to construct and quantize a gauge theory from a Hamiltonian system with second class constraints. Among the avenues explored, their technique is analyzed in relation to other well-known methods of quantization and a bracket is defined, such that the operator formalism can be fully developed. I also extend to systems with m...

The geometry of supermanifolds provided with a Q-structure (i.e. with an odd vector field Q satisfying {Q, Q} = 0), a P -structure (odd symplectic structure ) and an S-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of the Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclass...

We consider odd Laplace operators arising in odd symplectic geometry. Approach based on semidensities (densities of weight 1/2) is developed. The role of semidensities in the Batalin–Vilkovisky formalism is explained. In particular, we study the relations between semidensities on an odd symplectic supermanifold and differential forms on a purely even Lagrangian submanifold. We establish a crite...

Genetic parameters for various backfat measurements (BF1FT, Backfat shoulder measured at the field test; BF2FT, Backfat mid-back measured at the field test; BF3FT, Backfat loin measured at the field test; BF1ST, Backfat shoulder measured at the station test; BF2ST, Backfat mid-back measured at the station test; BF3ST, Backfat loin measured at the station test) were estimated. The analysis was b...

We propose a new procedure to embed second class systems by introducing Wess-Zumino (WZ) fields in order to unveil hidden symmetries existent in the models. This formalism is based on the direct imposition that the new Hamiltonian must be invariant by gauge-symmetry transformations. An interesting feature in this approach is the possibility to fix the WZ fields in a convenient way, which leads ...

In this paper the SU(2) Skyrme model will be reformulated as a gauge theory and the hidden symmetry will be investigated and explored in the energy spectrum computation. To this end we purpose a new constraint conversion scheme, based on the symplectic framework with the introduction of Wess-Zumino (WZ) terms in an unambiguous way. It is a positive feature not present on the BFFT constraint con...