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

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

2010-04-05

arxiv.org/abs/1004.0601v3

Commun.Math.Phys.303:317-330,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Some errors and typos have been corrected

Scientific paper

10.1007/s00220-011-1194-0

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.

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