Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras
نویسنده
چکیده
We analyze the algebraic and geometric structures of deformations of Schwarz type topological field theories. Deformations of the Chern-Simons-BF theory and BF theories in n dimensions are analyzed. Two dimensionanl theory induces the Poisson structure and three dimensional theory induces the Courant algebroid structure on the target space as a sigma model. We generalize these structures to higher dimensions by the analysis of Batalin-Vilkovisky algebras in n dimensions. E-mail address: [email protected]
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