Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras

Details Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras

2002-09-05

arxiv.org/abs/hep-th/0209042v2

JHEP 0210 (2002) 076

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1088/1126-6708/2002/10/076

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.

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