# On a Multisymplectic Formulation of the Classical BRST symmetry for First Order Field Theories Part I: Algebraic Structures

@inproceedings{SPHrabak1999OnAM, title={On a Multisymplectic Formulation of the Classical BRST symmetry for First Order Field Theories Part I: Algebraic Structures}, author={S.P.Hrabak}, year={1999} }

We describe a new algebraic multisymplectic formulation of the classical BRST symmetry. The analogue of Marsden-Weinstein reduction for multisymplectic manifolds is described. We then give a homological description of Multisymplectic Marsden-Weinstein reduction.

## 15 Citations

On a Multisymplectic Formulation of the Classical BRST Symmetry for First Order Field Theories Part II: Geometric Structures

- Mathematics, Physics
- 1999

A geometric multisymplectic formulation of the classical BRST symmetry of constrained first-order classical field theories is described. To effect this we introduce graded analogues of the bundles…

Multisymplectic methods in field theory with symmetries and BRST

- Physics
- 2016

The generalization of Hamiltonian mechanics to covariant Hamiltonian field theory on multiphase space is given an accessible exposition as a practical method covering various topics, and a classical…

Geometry of multisymplectic Hamiltonian first order field theories

- Physics
- 2000

In the jet bundle description of field theories (multisymplectic models, in particular), there are several choices for the multimomentum bundle where the covariant Hamiltonian formalism takes place.…

On the multisymplectic origin of the non-Abelian deformation algebra of pseudoholomorphic embeddings into strictly almost K\"{a}hler ambient manifolds, and the corresponding BRST algebra

- Mathematics
- 1999

We describe the multisymplectic formulation of the dynamics of the pseudoholomorphic embeddings of Riemann surfaces into strictly almost Kähler ambient manifolds. The non-integrability of the almost…

Higher contact-like structures and supersymmetry

- Mathematics
- 2012

We establish a relation between higher contact-like structures on supermanifolds and the super-Poincar? group via its superspace realization. To do this we introduce a vector-valued contact…

Reduction of polysymplectic manifolds

- Mathematics
- 2015

The aim of this paper is to generalize the classical Marsden-
Weinstein reduction procedure
for symplectic manifolds to polysymplectic manifolds in or
der to obtain quotient manifolds which in- …

Towards a "pre-canonical" quantization of gravity without the space+time decomposition

- Physics
- 1999

Quantization of gravity is discussed in the context of field quantization based on an analogue of canonical formalism (the De Donder-Weyl canonical theory) which does not require the space+time…

Precanonical Quantum Gravity: Quantization Without the Space–Time Decomposition

- Physics
- 2000

A nonpertubative approach to quantum gravity using precanonical field quantization originating from the covariant De Donder–Weyl Hamiltonian formulation, which treats space and time variables on an…

Geometric Structures in Field Theory

- Mathematics
- 2002

This review paper is concerned with the generalizations to field theory of the tangent and cotangent structures and bundles that play fundamental roles in the Lagrangian and Hamiltonian formulations…