Q-Manifolds and Sigma Models
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910166502342656 |
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| author | Ikeda, Noriaki |
| author_facet | Ikeda, Noriaki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23496 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Q-Manifolds and Sigma Models Ikeda, Noriaki Mathematical Physics High Energy Physics - Theory Symplectic Geometry 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. |
| title | Q-Manifolds and Sigma Models |
| topic | Mathematical Physics High Energy Physics - Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2604.23496 |