Deformation of Batalin-Vilkovisky Structures
نویسنده
چکیده
A Batalin-Vilkovisky formalism is most general framework to construct consistent quantum field theories. Its mathematical structure is called a BatalinVilkovisky structure. First we explain rather mathematical setting of a BatalinVilkovisky formalism. Next, we consider deformation theory of a BatalinVilkovisky structure. Especially, we consider deformation of topological sigma models in any dimension, which is closely related to deformation theories in mathematics, including deformation from commutative geometry to noncommutative geometry. We obtain a series of new nontrivial topological sigma models and we find these models have the Batalin-Vilkovisky structures based on a series of new algebroids.
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تاریخ انتشار 2006