In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomorphic to the angular momentum algebra. The work is in the spirit of our earlier works in this connection, i.e. PLB 618 (2005)243 and PLB 623 (2005)251, where the κ-Minkowski form of noncomutative spacetime was consider...

Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In classical theory, infinite-dimensional targets considered as well (this then encompasses also higher-dimensional theories in hamiltonian formalism). The properties Hamilton–Jacobi (HJ) action described details and several examples explicitly computed (including...

The combined method of Higher Covariant Derivatives and Pauli-Villars regularization to regularize pure Yang-Mills theories is formulated in the framework of Batalin and Vilkovisky. However, BRS invariance is broken by this method and suitable counterterms should be added to restore it. The 1-loop counterterm is presented. Contrary to the scheme of Slavnov, this method is regularizing and leads...

The quantization of the complex linear superfield requires an infinite tower of ghosts. Using the Batalin-Vilkovisky technique, Grisaru, Van Proeyen, and Zanon have been able to define a correct procedure to construct a gauge-fixed action. We generalize their technique by introducing the Lagrange multipliers into the non-minimal sector and we study the BRST cohomology. We show how the physical ...

This paper is devoted to the quantization of the second-ilk superparticle using the Batalin-Vilkovisky method. We show the full structure of the master action. By imposing gauge conditions on the gauge fields rather than on coordinates we find a gauge-fixed quantum action which is free. The structure of the BRST charge is exhibited, and the BRST cohomology yields the same physical spectrum as t...

We construct topological string and topological membrane actions with a nontrivial 3-form flux H in arbitrary dimensions. These models realize Bianchi identities with a nontrivial H flux as consistency conditions. Especially, we discuss the models with a generalized SU(3) structure, a generalized G2 structure and a generalized Spin(7) structure. These models are constructed from the AKSZ formul...

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin, we embed the second-class non-abelian self-dual model of P. K. Townsend et al into a gauge theory. The strongly involutive Hamiltonian and constraints are obtained as an infinite power series in the auxiliary fields. By formally summing the series we obtain a simple interpretation for the first-class H...