superalgebra and (synthetic ) supergeometry
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
A categorification of the 2-category of Clifford algebras and bimodules between them. The “2-Clifford algebra” objects are spinning string theories, modeled as fermionic conformal nets.
This is supposedly related to the String 2-group and superstrings as Clifford algebras are related to the spin group and spinning particles.
(…)
A somewhat novel take on fermionic conformal nets is presented and studied in
Arthur Bartels, Chris Douglas, Andre Henriques, Conformal nets and local field theory (arXiv:0912.5307)
Arthur Bartels, Chris Douglas, Andre Henriques, Conformal nets I: coordinate-free nets (arXiv:1302.2604)
where fermionic conformal nets are arranged into a tricategory with symmetric monoidal structure that is a delooping of the bicategory of von Neumann algebras and bimodules between these. Among other things, this work connects the AQFT notion of conformal nets with the FQFT notion of cobordism representations.
Chris Douglas, André Henriques, Topological modular forms and conformal nets, in: Hisham Sati, Urs Schreiber (eds.), Mathematical Foundations of Quantum Field and Perturbative String Theory
Chris Douglas, André Henriques, Geometric string structures (pdf)
Last revised on June 15, 2021 at 17:26:01. See the history of this page for a list of all contributions to it.