Tuesday, January 22, 2013

1301.4805 (Noriaki Ikeda et al.)

Canonical Functions in Graded Symplectic Geometries and AKSZ Sigma

Noriaki Ikeda, Xiaomeng Xu
We introduce the notion of canonical functions, which unify many geometric structures in terms of the graded symplectic geometry. From the analysis of canonical functions, we propose generalizations of differential graded symplectic manifolds such as derived QP manifolds, twisted QP manifolds and QP pairs. These explain the nature of kinds of twisted structures in Poisson geometry and physics. Many known and new geometric structures are derived from canonical functions. As an application, AKSZ sigma models and corresponding boundary theories are constructed from canonical functions.
View original: http://arxiv.org/abs/1301.4805

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