We express covariance of the Batalin–Vilkovisky formalism in classical mechanics by means of the Maurer–Cartan equation in a curved Lie superalgebra, defined using the formal variational calculus and Sullivan’s Thom–Whitney construction. We use this framework to construct a Batalin–Vilkovisky canonical transformation identifying the Batalin–Vilkovisky formulation of the spinning particle with an AKSZ field theory.
- Batalin–Vilkovisky field theory
- Spinning particle
- Thom–Whitney normalization
- Variational calculus
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics