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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
AKSZ formalism and applications
 Bialas, Filip ; Jurčo, Branislav (advisor) ; Vysoký, Jan (referee)
Generalization of manifolds to the case of both commuting and anticommut- ing variables - Z-graded manifolds are described in this thesis. The language of categories and algebraic geometry is used for defining them and generalizing a few geometrical concepts such as vector fields, differential forms, and symplectic geometry. In the rest of the text, AKSZ construction is described. This construc- tion unifies a few topological field theories by constructing an action functional which is a solution to the classical BV master equation. We will describe one such theory (Poisson sigma model) using AKSZ formalism in greater detail. 1
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Finite dimensional BV formalism
 Skácel, Ondřej ; Jurčo, Branislav (advisor) ; Pulmann, Ján (referee)
We study the BV formalism in both the infinite- and finite-dimensional case. We outline the use in QFT and provide explicit calculations for the Yang- Mills theories. We summarize the flat finite-dimensional case and show an equiv- alence bewteen two definitions of the effective observable. An overview of graded geometry is included. 1
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