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arXiv · 2604.23496

Q-Manifolds and Sigma Models

Noriaki Ikeda
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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.

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Noriaki Ikeda. 2026-04-26. Q-Manifolds and Sigma Models. https://arxiv.org/abs/2604.23496

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