# nLab Albert Schwarz

Albert Schwarz is a mathematician and a theoretical physicist born in Soviet Union and now Professor at University of California-Davis (web). He was one of the pioneers of Morse theory and brought up a first example of a topological quantum field theory. Schwarz worked on some examples in noncommutative geometry. He is “S” of the famous AKSZ model.

## Selected publications

and specifically in relation to T-duality:

• B. Pioline, Albert Schwarz, Morita equivalence and T-duality (or $B$ versus $\Theta$) (arXiv:hep-th/9908019)
• Albert SchwarzThe partition function of a degenerate functional, Commun. Math. Phys. 67, 1 (1979)

Introducing the AKSZ sigma-model:

On supergeometry as taking place over the base topos on the site of super points

• Albert Schwarz, On the definition of superspace, Teoret. Mat. Fiz. (1984) Volume 60, Number 1, Pages 37–42, (russian original pdf)

• Anatoly Konechny and Albert Schwarz,

On $(k \oplus l|q)$-dimensional supermanifolds, in: Julius Wess, V. Akulov (eds.) Supersymmetry and Quantum Field Theory (D. Volkov memorial volume) Springer-Verlag, 1998 , Lecture Notes in Physics, 509 (arXiv:hep-th/9706003)

Theory of $(k \oplus l|q)$-dimensional supermanifolds Sel. math., New ser. 6 (2000) 471 - 486

• Albert Schwarz, I- Shapiro, Supergeometry and Arithmetic Geometry (arXiv:hep-th/0605119)

• Semiclassical approximation in Batalin-Vilkovisky formalism, Comm. Math. Phys. 158 (1993), no. 2, 373–396, euclid
• monograph: Quantum field theory and topology, Grundlehren der Math. Wissen. 307, Springer 1993. (translated from Russian original Kvantovaja teorija polja i topologija, Nauka, Moscow, 1989. 400 pp.)

• scientific reminiscences, pdf

• V. Kac, A. Schwarz, Geometric interpretation of the partition function of $2$D gravity, Phys. Lett. B 257 (1991), no. 3-4, 329–334, doi

• A. A. Belavin, A. M. Polyakov, A. S. Schwartz, Yu. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1975), no. 1, 85–87, http://dx.doi.org/10.1016/0370-2693(75)90163-X

• S. N. Dolgikh, A. A. Rosly, A. S. Schwarz, Supermoduli spaces, Comm. Math. Phys. 135 (1990), no. 1, 91–100, euclid

• V. N. Romanov, A. S. Švarc, Anomalies and elliptic operators, (Russian) Teoret. Mat. Fiz. 41 (1979), no. 2, 190–204.

• Математические основы квантовой теории поля, Atomizdat, Moscow, 1975. 368 pp.

category: people

Last revised on January 2, 2021 at 09:53:03. See the history of this page for a list of all contributions to it.