We study the Chern-Simons theory coupled to matter field by means of an effective Lagrangian obtained from the Batalin-Fradkin-Vilkovisky formalism. We show that there is no rotational anomaly for any proper gauge we choose. PACS: 03.70.+k, 11.15.-q, 11.30.-j. (∗) Electronic mail: ift01001 @ ufrj (†) Electronic mails: ift03001 @ ufrj and barcelos @ vms1.nce.ufrj.br 1

The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We obtain the gauge-invariant nonabelian Wess-Zumino type action in the extended phase space. ∗ E-mail address : [email protected] † E-mail address : yjpark@...

Recently, Batalin and Marnelius proposed a superfield algorithm for master actions in the BV-formulation for a class of first order gauge field theories. Possible theories are determined by a ghost number prescription and a simple local master equation. We investigate consistent solutions of these local master equations with emphasis on four and six dimensional theories. E-mail: [email protected]...

We apply the embedding method of Batalin-Tyutin for revealing noncommutative structures in the generalized Landau problem. Different types of noncommutativity follow from different gauge choices. This establishes a duality among the distinct algebras. An alternative approach is discussed which yields equivalent results as the embedding method. We also discuss the consequences in the Landau prob...

Following systematically the generalized Hamiltonian approach of Batalin and Fradkin, we demonstrate the equivalence of a self-dual model with the Maxwell-Chern-Simons theory by embedding the former second-class theory into a first-class theory. On sabbatical leave from S.N. Bose National Centre for Basic Sciences, DB-17, Sec 1, Salt Lake, Calcutta-700064, India

We study the noncommutative Poincare duality between Poisson homology and cohomology of unimodular algebras, show that Kontsevich's deformation quantization as well Koszul preserve corresponding duality. As a corollary, Batalin-Vilkovisky algebra structures naturally arise in these cases are all isomorphic.

The framed n-discs operad f Dn is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on by f Dn is equivalent to the n-fold loop space on an SO(n)-space. Examples of f D2-spaces are nerves of ribbon braided monoidal categories. We compute the rational homology of f Dn , which produces higher Batalin–Vilko...

How climate change affects the plants on Qinghai-Tibet Plateau (QTP) has become a hot research topic in recent years. It was widely recognized that Larix. are sensitive to change, while corresponding of QTP been rare. Using maximum entropy (MaxEnt) model, we predicted potential distribution patterns Larix potaninii Batalin, griffithii and speciosa this study under different future scenarios. Th...

In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces fields (as differential graded Fréchet manifolds) up homotopy. We construct this homotopy explicitly in several examples setting BV-BFV formalism (Batalin–Vilkovisky with cutting–gluing).