Odd Jacobi structures and classical BV-gauge systems

2011/01/10 by Andrew James Bruce, Bruce, Andrew James · 3 citations
Mathematics · Physics and Astronomy · #17B70 #53D17 #58A50 #83C47 #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #hep-th #math-ph #math.DG #math.MP #math.QA #math.SG #msc:17B70 #msc:53D17 #msc:58A50 #msc:83C47

paper · pdf · doi:10.48550/arxiv.1101.1844

14 pages. Overall improved presentation and errors in examples corrected

openalex publication_date 2011/01/10 · arxiv created 2011/07/09 · arxiv updated 2011/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define Grassmann odd analogues of Jacobi structures on supermanifolds. We then examine their potential use in the Batalin-Vilkovisky formalism of classical gauge theories.

Citations

• Quantization of Gauge Systems

Cited by

• Jacobi algebroids and quasi Q-manifolds
• On the relation between exact QS-manifolds and odd Jacobi manifolds
• Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids

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