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• W2942662568 abstract "In this note, we would like to provide a conceptional introduction to the interaction between derived geometry and physics based on the formalism that has been heavily studied by Kevin Costello. Main motivations of our current attempt are as follows: (i) to provide a brief introduction to derived algebraic geometry, which can be, roughly speaking, thought of as a higher categorical refinement of an ordinary algebraic geometry, (ii) to understand how certain derived objects naturally appear in a theory describing a particular physical phenomenon and give rise to a formal mathematical treatment, such as redefining a perturbative classical field theory (or its quantum counterpart) by using the language of derived algebraic geometry, and (iii) how the notion of factorization algebra together with certain higher categorical structures come into play to encode the structure of so-called observables in those theories by employing certain cohomological/homotopical methods. Adopting such a heavy and relatively enriched language allows us to formalize the notion of quantization and observables in quantum field theory as well." @default.
• W2942662568 created "2019-05-09" @default.
• W2942662568 creator A5038099180 @default.
• W2942662568 date "2019-04-29" @default.
• W2942662568 modified "2023-09-27" @default.
• W2942662568 title "A Note on Derived Geometric Interpretation of Classical Field Theories" @default.
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• W2942662568 hasPublicationYear "2019" @default.
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