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arXiv · hep-th/0209042

Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras

Noriaki Ikeda
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Abstract

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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Noriaki Ikeda. 2002-10-31. Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F076

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