%0 Journal Article
%T Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras
%A Noriaki Ikeda
%J Mathematics
%D 2002
%I arXiv
%R 10.1088/1126-6708/2002/10/076
%X The algebraic and geometric structures of deformations are analyzed concerning topological field theories of Schwarz type by means of the Batalin-Vilkovisky formalism. Deformations of the Chern-Simons-BF theory in three dimensions induces the Courant algebroid structure on the target space as a sigma model. Deformations of BF theories in $n$ dimensions are also analyzed. Two dimensional deformed BF theory induces the Poisson structure and three dimensional deformed BF theory induces the Courant algebroid structure on the target space as a sigma model. The deformations of BF theories in $n$ dimensions induce the structures of Batalin-Vilkovisky algebras on the target space.
%U http://arxiv.org/abs/hep-th/0209042v2