QP-Structures of Degree 3 and 4D Topological Field Theory
High Energy Physics - Theory
2011-03-28 v3 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
A A BV algebra and a QP-structure of 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.
Keywords
Cite
@article{arxiv.1004.0601,
title = {QP-Structures of Degree 3 and 4D Topological Field Theory},
author = {Noriaki Ikeda and Kyousuke Uchino},
journal= {arXiv preprint arXiv:1004.0601},
year = {2011}
}
Comments
17 pages, Some errors and typos have been corrected