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Batalin-Vilkovisky formalism is used in theory of operads and in gauge theories. We shall introduce the BRST and
BV formalisms. The course is aimed at Masters and PhD students of mathematics and physics.
Last update: Šmíd Dalibor, Mgr., Ph.D. (12.05.2018)
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Oral examination. Last update: Šmíd Dalibor, Mgr., Ph.D. (28.10.2019)
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Joaquim Gomis, Jordi Paris, Stuart Samuel, Antibracket, Antifields and Gauge-Theory Quantization, Phys.Rept. 259 (1995) 1-145 Albert Schwarz, Geometry of Batalin-Vilkovisky quantization, Commun.Math.Phys. 155 (1993) 249-260 Marc Henneaux, Claudio Teitelboim, M.Quantization of Gauge Systems, Princeton University Press, 1994 Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The Geometry of the Master Equation and Topological Quantum Field Theory, Int.J.Mod.Phys. A12 (1997) 1405-1430 Steven Weinberg, The Quantum Theory of Fields, Volume 2: Modern Applications, Cambridge University Press, 2005 ALBERTO S. CATTANEO and FLORIAN SCHÄTZ, INTRODUCTION TO SUPERGEOMETRY, Rev. Math. Phys. 23, 669 (2011) Kevin Costello, Renormalization and Effective Field Theory, American Mathematical Society, 2011 Bertram Kostant, Shlomo Sternberg, Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras, Annals of Physics, Volume 176, Issue 1, 15 May 1987, Pages 49-113 Last update: Jurčo Branislav, prof. Ing., CSc., DSc. (28.06.2018)
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Guided reading, presenations by participants Last update: Jurčo Branislav, prof. Ing., CSc., DSc. (28.10.2019)
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The questions during an oral exam will concern the most iportant parts of the subject. Further details will be specified during the semester. Last update: Jurčo Branislav, prof. Ing., CSc., DSc. (28.10.2019)
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Graded manifolds, integartion on superspaces, homotopy Lie algebras, Mauer-Cartan euqation, BRST, BV path integral, geometry of BV quantization, Effective action, minimal models Last update: Jurčo Branislav, prof. Ing., CSc., DSc. (14.05.2019)
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