Q-Manifolds and Sigma Models
Mathematical Physics
2026-04-28 v1 High Energy Physics - Theory
math.MP
Symplectic Geometry
Abstract
Recent developments of Batalin-Vilkovisky (BV) formalism and related geometry are reviewed. Mathematical structures of BV formalism are summarized as a Q-manifold and a QP-manifold. Lie algebras, Lie algebroids and other higher algebroids are explained as typical examples of Q- and QP-manifolds. Finally, the BV action functionals are constructed by geometric structures of Lie algebroids and Courant algebroids.
Keywords
Cite
@article{arxiv.2604.23496,
title = {Q-Manifolds and Sigma Models},
author = {Noriaki Ikeda},
journal= {arXiv preprint arXiv:2604.23496},
year = {2026}
}
Comments
20 pages