Classical BV cohomology of the N = 1 spinning particle
Abstract
A bstract We show that the classical Batalin-Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. [1], is removed by a Koszul-Tate resolution involving saturation of Grassmann odd variables. The model thus satisfies the axioms of Felder and Kazhdan. The AKSZ formulation of the resolved model is described. We reveal partial information on the resolution of the constrained phase space, which involves resolving the parity-shifted tangent sheaf of the light-cône. Specialising to dimension one, we describe the full resolution.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Differential Geometry Research
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 9
- Publication date
- 3 September 2026
- Language
- EN