Poly-symplectic geometry and the AKSZ formalism

DOI10.1142/S0129055X21500306zbMath1491.53085arXiv1912.07697OpenAlexW2996525012MaRDI QIDQ5019033

Nicolas Martinez Alba, Iván A. Contreras

Publication date: 27 December 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07697

zbMATH Keywords

graded manifoldsPoisson sigma modelsAKSZ theorypoly-Poisson structurepoly-symplectic geometry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Symplectic manifolds (general theory) (53D05) Quantum field theory; related classical field theories (81T99) Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50)

Cites Work

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• INTRODUCTION TO SUPERGEOMETRY
• Covariant-differential formulation of Lagrangian field theory
• Poly-Poisson sigma models and their relational poly-symplectic groupoids
• On the AKSZ formulation of the Poisson sigma model.

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