arXiv subjects

A. Nersessian

Publications and source records attributed to A. Nersessian.

22 records · Page 2Linked to original sources

arXiv1995

Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism

We give a simple geometrical picture of the basic structures of the covariant $Sp(2)$ symmetric quantization formalism -- triplectic quantization -- recently suggested by Batalin, Marnelius and Semikhatov. In particular, we show that the appearance of an even Poisson bracket is not a particular property of triplectic quantization. Rather, any solution of the classical master equation generates on a Lagrangian surface of the antibracket an even Poisson bracket. Also other features of triplectic quantization can be identified with aspects of conventional Lagrangian BRST quantization without extended BRST symmetry.

hep-th↗

arXiv1994

From Antibracket to Equivariant Characteristic Classes

We construct the odd symplectic structure and the equivariant even (pre)symplectic one from it on the space of differential forms on the Riemann manifold. The Poincare -- Cartan like invariants of the second structure define the equivariant generalizations of the Euler classes on the surfaces.

hep-th↗

arXiv1994

``Charge-Dyon" System As The Reduced Oscillator

It is shown, that in the general case the Kustaanheimo-Stiefel transformation (reduction of $4d$ oscillator on the twistor space by the Hamiltonian action of $U(1)$ with further time-reparametrization) leads to the integrable system, describing the interaction of a spinless electrically charged particle with a dyon .

hep-th↗

arXiv1993

Equivariant Localization: BV-geometry and Supersymmetric Dynamics

It is shown, that the geometrical objects of Batalin-Vilkovisky formalism-- odd symplectic structure and nilpotent operator $Δ$ can be naturally uncorporated in Duistermaat--Heckman localization procedure. The presence of the supersymmetric bi-Hamiltonian dynamics with even and odd symplectic structure in this procedure is established. These constructions can be straightly generalized for the path-integral case.

hep-th↗