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.

17 pages, Some errors and typos have been corrected

References in corpus (2)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• H-twisted Lie algebroids

Cited by in corpus (4)

• Topological Field Theories induced by twisted R-Poisson structure in any dimension
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• The BV action of 3D twisted R-Poisson sigma models
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons