-
- M. Alexandrov
- University of California at Davis, Department of Mathematics, Davis, CA 95616, USA
-
- A. Schwarz
- University of California at Davis, Department of Mathematics, Davis, CA 95616, USA
-
- O. Zaboronsky
- University of California at Davis, Department of Mathematics, Davis, CA 95616, USA
-
- M. Kontsevich
- University of California at Berkeley, Department of Mathematics, Berkeley, CA 94720, USA
書誌事項
- 公開日
- 1997-03-20
- DOI
-
- 10.1142/s0217751x97001031
- 公開者
- World Scientific Pub Co Pte Lt
この論文をさがす
説明
<jats:p> In Batalin–Vilkovisky formalism, a classical mechanical system is specified by means of a solution to the classical master equation. Geometrically, such a solution can be considered as a QP-manifold, i.e. a supermanifold equipped with an odd vector field Q obeying {Q, Q} = 0 and with Q-invariant odd symplectic structure. We study geometry of QP-manifolds. In particular, we describe some construction of QP-manifolds and prove a classification theorem (under certain conditions). </jats:p><jats:p> We apply these geometric constructions to obtain in a natural way the action functionals of two-dimensional topological sigma-models and to show that the Chern–Simons theory in BV-formalism arises as a sigma-model with target space [Formula: see text]. (Here [Formula: see text] stands for a Lie algebra and Π denotes parity inversion.) </jats:p>
収録刊行物
-
- International Journal of Modern Physics A
-
International Journal of Modern Physics A 12 (07), 1405-1429, 1997-03-20
World Scientific Pub Co Pte Lt
