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• W2962685890 abstract "Generalized current algebras introduced by Alekseev and Strobl in two dimensions are reconstructed by a graded manifold and a graded Poisson brackets. We generalize their current algebras to higher dimensions. QP-manifolds provide the unified structures of current algebras in any dimension. Current algebras give rise to structures of Leibniz/Loday algebroids, which are characterized by QP-structures. Especially, in three dimensions, a current algebra has a structure of a Lie algebroid up to homotopy introduced by Uchino and one of the authors, which has a bracket of a generalization of the Courant–Dorfman bracket. Anomaly cancellation conditions are reinterpreted as generalizations of the Dirac structure." @default.
• W2962685890 created "2019-07-30" @default.
• W2962685890 creator A5008966445 @default.
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• W2962685890 date "2013-04-30" @default.
• W2962685890 modified "2023-10-03" @default.
• W2962685890 title "CURRENT ALGEBRAS AND QP-MANIFOLDS" @default.
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• W2962685890 doi "https://doi.org/10.1142/s0219887813500242" @default.
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