Finite dimensional BV formalism

• Thesis title in Czech: BV formalismus v konečné dimensi
• Thesis title in English: Finite dimensional BV formalism
• Key words: BV formalismus, gradovaná geometrie, efektivní pozorovatelná
• English key words: BV formalism, graded geometry, effective observable
• Academic year of topic announcement: 2016/2017
• Thesis type: Bachelor's thesis
• Thesis language: angličtina
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: prof. Ing. Branislav Jurčo, CSc., DSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 09.12.2016
• Date of assignment: 09.12.2016
• Confirmed by Study dept. on: 20.04.2017
• Date and time of defence: 12.09.2017 00:00
• Date of electronic submission: 16.07.2017
• Date of submission of printed version: 16.07.2017
• Date of proceeded defence: 12.09.2017
• Opponents: Mgr. Ján Pulmann

Guidelines

Student se seznámí se základy Batalinova-Vilkoviského formalismu v konečné dimenzi a jeho aplikací na konečně dimensionální verzi Feynmanových dráhových integrálů.

References

The student gets familiar with the basics of the Batalin-Vilkovisky formalism in finite dimensions and its aplications to the finite dimensional version of Feynman path integrals.

Preliminary scope of work in English

BV formalism is of the most importance for quantization of gauge theories. When dealing with
nonabelian gauge theories, gravity or string field theory, BV formalism becomes indispensable. The finite dimensional case is crucial for understanding of the so called factorization algebras. These encode the algebraic structure underlying any quantum field theory.