Open AccessPosted Content
Batalin--Vilkovisky Formalism and Odd Symplectic Geometry
Reads0
Chats0
TLDR
A review of some results in odd symplectic geometry related to the Batalin-Vilkovisky Formalism can be found in this article, where the same authors also present a review of the results of odd manifold geometry.Abstract:
It is a review of some results in Odd symplectic geometry related to the Batalin-Vilkovisky Formalismread more
Citations
More filters
Journal ArticleDOI
Supercurves, their Jacobians, and super KP equations
M. J. Bergvelt,J. M. Rabin +1 more
TL;DR: In this article, the authors studied the geometry and cohomology of algebraic super curves, using a new contour integral for holomorphic differentials, and showed that the odd part of the period matrix of the dual curve of a generic SKP curve is a smooth supermanifold; it is principally polarized, hence projective.
Posted Content
Divergence operators and odd Poisson brackets
TL;DR: In this paper, the divergence operators on a graded algebra were defined, and the divergence operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket.
Journal ArticleDOI
General triplectic quantization
Igor A. Batalin,Robert Marnelius +1 more
TL;DR: In this paper, the general structure of the Sp(2)-covariant version of the field-antifield quantization of general constrained systems in the Lagrangian formalism, the so-called triplectic quantization, was further generalized and clarified.
Journal ArticleDOI
Finite-Dimensional AKSZ–BV Theories
TL;DR: In this article, the authors describe a canonical reduction of AKSZ-BV theories to the cohomology of the source manifold, and present the possible generalizations of theAKSZ theory.
Journal ArticleDOI
Chiral supergravity actions and superforms
TL;DR: In this paper, the authors presented an alternative procedure to generate required superforms in four space-time dimensions, which makes use of self-dual vector multiplets and provided the shortest derivation of chiral actions in two different theories: (i) N = 1 old minimal supergravity; and (ii) N=2 conformal supergravity.
References
More filters
Book
Mathematical Methods of Classical Mechanics
TL;DR: In this paper, Newtonian mechanics: experimental facts investigation of the equations of motion, variational principles Lagrangian mechanics on manifolds oscillations rigid bodies, differential forms symplectic manifolds canonical formalism introduction to pertubation theory.
Journal ArticleDOI
Gauge Algebra and Quantization
I. A. Batalin,G.A. Vilkovisky +1 more
TL;DR: In this article, a general gauge theory in the lagrangian approach is accomplished in closed form, and a new class of diagrams is revealed, required by BRS-symmetry but completely definable only from the requirement of unitarity.
Journal ArticleDOI
Quantization of Gauge Theories with Linearly Dependent Generators
I. A. Batalin,G.A. Vilkovisky +1 more
TL;DR: In this article, the quantization rules for gauge theories with open algebras are generalized to the case of linearly dependent generators and the solution for the general case of such a hierarchy is given.
Journal ArticleDOI
Relativistic S Matrix of Dynamical Systems with Boson and Fermion Constraints
Igor A. Batalin,G.A. Vilkovisky +1 more
TL;DR: The general solution for the S-matrix of an arbitrary Hamilton system with first-class boson and fermion constraints is obtained in this paper, where no restrictions are imposed upon the structure functions of the involution of the constraints.