scholarly journals Algebraic quantum hypergroups

2011 ◽  
Vol 226 (2) ◽  
pp. 1134-1167 ◽  
Author(s):  
L. Delvaux ◽  
A. Van Daele
Keyword(s):  
Algebraic Quantum

scholarly journals Categorification of algebraic quantum field theories

2021 ◽  
Vol 111 (2) ◽  
Author(s):  
Marco Benini ◽  
Marco Perin ◽  
Alexander Schenkel ◽  
Lukas Woike
Keyword(s):  
Universal Algebra ◽  
Finite Groups ◽  
Physical Interpretation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Algebraic Quantum

AbstractThis paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen’s universal algebra is developed and also computed for simple examples of 2AQFTs.

scholarly journals Algebraic Quantum Field Theory on Spacetimes with Timelike Boundary

2018 ◽  
Vol 19 (8) ◽  
pp. 2401-2433 ◽  
Author(s):  
Marco Benini ◽  
Claudio Dappiaggi ◽  
Alexander Schenkel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Algebraic Quantum Field Theory ◽  
Algebraic Quantum
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