Abstract
A BV algebra and a QP-structure of the degree 3 is formulated. A QP-structure of degree 3 gives rise to Lie algebroids up to homotopy and its algebraic and geometric structure is analyzed. A new algebroid is constructed, which derives a new topological field theory in 4 dimensions by the AKSZ construction.
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Communicated by Y. Kawahigashi
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Ikeda, N., Uchino, K. QP-Structures of Degree 3 and 4D Topological Field Theory. Commun. Math. Phys. 303, 317–330 (2011). https://doi.org/10.1007/s00220-011-1194-0
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DOI: https://doi.org/10.1007/s00220-011-1194-0