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QP-Structures of Degree 3 and 4D Topological Field Theory

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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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Authors and Affiliations

  1. Maskawa Institute for Science and Culture, Kyoto Sangyo University, Kyoto, 603-8555, Japan

    Noriaki Ikeda

  2. Department of Mathematics, Tokyo University of Science, Wakamiya 26, Shinjyuku, Tokyo, Japan

    Kyousuke Uchino

Authors
  1. Noriaki Ikeda
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  2. Kyousuke Uchino
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Correspondence to Noriaki Ikeda.

Additional information

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

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