Antibrackets and localization of (path) integrals

Abstract

The transparent way for the invariant (Hamiltonian) description of equivariant localization of the integrals over phase space is proposed. It uses the odd symplectic structure, constructed over tangent bundle of the phase space and permits straightforward generalization for the path integrals. Simultaneously the method of supersymmetrization for a wide class of the Hamiltonian systems is derived.

6 pages, Preprint JINR E2-93-194, LaTeX file

Cited by in corpus (6)

• Equivariant Localization of Path Integrals
• Kähler geometry and SUSY mechanics
• Equivariant Batalin-Vilkovisky formalism
• Poisson structures in BRST-antiBRST invariant Lagrangian formalism
• Integration measure and extended BRST covariant quantization
• 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism