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

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Alexander Schenkel's picture

Alexander Schenkel

University of Nottingham
http://www.aschenkel.eu

Papers

The linear CS/WZW bulk/boundary system in AQFT

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
February 14, 2023
algebraic quantum field theory, boundary conditions in gauge theory, chiral conformal field theory, Chern-Simons theory, Wess-Zumino-Witten model
open access link

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory

Marco Benini, Giorgio Musante, Alexander Schenkel
December 05, 2022
factorization algebras, algebraic quantum field theories, homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators
open access link

Strictification theorems for the homotopy time-slice axiom

Marco Benini, Victor Carmona, Alexander Schenkel
August 08, 2022
algebraic quantum field theory, Gauge theory, homotopical algebra, chain complexes, operads, localizations
open access link Lett. Math. Phys. 113, 20 (2023)

Green hyperbolic complexes on Lorentzian manifolds

Marco Benini, Giorgio Musante, Alexander Schenkel
July 08, 2022
homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators, dg-categories
open access link

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

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Slides

  • Title: Higher Structures in Algebraic Quantum Field Theory
    Event: Mathematics of interacting QFT models
    Date: July 2, 2019
  • Title: From Fredenhagen's universal algebra to homotopy theory and operads
    Event: Quantum Physics meets Mathematics - a workshop on the occasion of Klaus Fredenhagen's 70th birthday
    Date: December 9, 2017
  • Title: Homotopy Theory + AQFT = Quantum Gauge Theory?
    Event: Quantum Field Theory: Concepts, Constructions & Curved Spacetimes
    Date: April 5, 2017

Theses

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

Alexander Schenkel
PhD Thesis, 2011, Würzburg
Advisor: Thorsten Ohl
noncommutative geometry, noncommutative gravity, QFT on non-commutative spaces, QFT on curved spacetimes
open access link

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