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Author ORCID Identifier
Open Access Dissertation
Doctor of Philosophy (PhD)
Year Degree Awarded
Month Degree Awarded
Algebra | Elementary Particles and Fields and String Theory | Geometry and Topology | Other Mathematics
In this thesis we develop a formulation of general covariance, an essential property for many field theories on curved spacetimes, using the language of stacks and the Batalin-Vilkovisky formalism. We survey the theory of stacks, both from a global and formal perspective, and consider the key example in our work: the moduli stack of metrics modulo diffeomorphism. This is then coupled to the Batalin-Vilkovisky formalism–a formulation of field theory motivated by developments in derived geometry–to describe the associated equivariant observables of a theory and to recover and generalize results regarding current conservation.
Dul, Filip, "GENERAL COVARIANCE WITH STACKS AND THE BATALIN-VILKOVISKY FORMALISM" (2022). Doctoral Dissertations. 2515.
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