QP-Structures of Degree 3 and 4D Topological Field Theory
Noriaki Ikeda, Kyousuke Uchino
TL;DR
This paper formulates a degree 3 BV algebra and QP-structure, linking them to Lie algebroids up to homotopy, and constructs a new 4D topological field theory via the AKSZ method.
Contribution
It introduces a novel degree 3 QP-structure and constructs a new 4D topological field theory using the AKSZ framework.
Findings
Formulation of a degree 3 BV algebra and QP-structure.
Analysis of the algebraic and geometric structure of Lie algebroids up to homotopy.
Construction of a new 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.
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