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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Marco Benini's picture

Marco Benini

Universität Hamburg

Papers

Quantization of derived cotangent stacks and gauge theory on directed graphs

Marco Benini, Jonathan P. Pridham, Alexander Schenkel
January 25, 2022
Derived algebraic geometry, derived cotangent stack, quotient stack, Deformation quantization, lattice gauge theory
open access link

A skeletal model for 2d conformal AQFTs

Marco Benini, Luca Giorgetti, Alexander Schenkel
November 02, 2021
algebraic quantum field theory, conformal field theory, localization of categories
open access link doi:10.1007/s00220-022-04428-4

Classical BV formalism for group actions

Marco Benini, Pavel Safronov, Alexander Schenkel
April 30, 2021
Derived algebraic geometry, derived critical locus, quotient stack, Batalin-Vilkovisky formalism
open access link Commun. Contemp. Math. 25(1), 2150094 (2023)

Smooth 1-dimensional algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel
October 26, 2020
algebraic quantum field theory, stacks of categories, vertical geometry of fiber bundles, smoothly parametrized differential equations
open access link

Categorification of algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel, Lukas Woike
March 30, 2020
algebraic quantum field theory, 2-categories, 2-operads, quasi-coherent sheaves, locally presentable linear categories, categorified orbifold theories, local-to-global extensions
open access link Lett. Math. Phys. 111, 35 (2021)

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Theses

Relative Cauchy evolution for spin 1 fields

Marco Benini
Master Thesis, 2011, University of Pavia
Advisor: Claudio Dappiaggi
General local covariance, relative Cauchy evolution, Klein-Gordon, Proca, Maxwell
open access link

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