Celebratio Mathematica — Schwarz — Complete Bibliography

Complete Bibliography

Works connected to Robert Adolfovich Minlos

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A. Schwarz: “Superanalogs of symplectic and contact geometry and their applications to quantum field theory,” pp. 203–218 in Topics in statistical and theoretical physics: F. A. Berezin memorial volume. Edited by R. L. Dobrushin, R. A. Minlos, M. A. Shubin, and A. M. Vershik. American Mathematical Society Translations. Series 2 177. American Mathematical Society (Providence, RI), 1996. This book is also no. 32 in the Advances in Mathematics series. MR 1409176 Zbl 0873.58004 ArXiv hep-th/9406120 incollection

The paper contains a short review of the theory of symplectic and contact manifolds and of the generalization of this theory to the case of supermanifolds. It is shown that this generalization can be used to obtain some important results in quantum field theory. In particular, regarding \( N \)-superconformal geometry as particular case of contact complex geometry, one can better understand \( N = 2 \) superconformal field theory and its connection to topological conformal field theory. The odd symplectic geometry constitutes a mathematical basis of Batalin–Vilkovisky procedure of quantization of gauge theories. The exposition is based mostly on published papers. However, the paper contains also a review of some unpublished results (in the section devoted to the axiomatics of \( N = 2 \) superconformal theory and topological quantum field theory).

Roland Lvovich Dobrushin	Related
Robert Adolfovich Minlos	Related
Mikhail Aleksandrovich Shubin	Related
Anatoly Moiseevich Vershik	Related