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

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.

arXiv comment17 pages, Some errors and typos have been corrected

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Cited by in corpus (10)

• Equivariant Rozansky-Witten classes and TFTs
• Topological Field Theories induced by twisted R-Poisson structure in any dimension
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• AKSZ constructions for topological membranes on $G_2$-manifolds
• The BV action of 3D twisted R-Poisson sigma models
• The geometry of graded cotangent bundles
• The first Pontryagin class of a quadratic Lie 2-algebroid
• Off-Shell Covariantization of Algebroid Gauge Theories
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons
• Categorification of VB-Lie algebroids and VB-Courant algebroids