Bibliographic Details
| Title: |
Gauge theories on quantum spaces. |
| Authors: |
Hersent, Kilian1 (AUTHOR) kilian.hersent@universite-paris-saclay.fr, Mathieu, Philippe2 (AUTHOR) philippe.mathieu@math.uzh.ch, Wallet, Jean-Christophe1 (AUTHOR) jean-christophe.wallet@universite-paris-saclay.fr |
| Source: |
Physics Reports. May2023, Vol. 1014, p1-83. 83p. |
| Subjects: |
Quantum theory, Gauge field theory, Quantum wells, Lie algebras, Noncommutative differential geometry, Model theory |
| Abstract: |
We review the present status of gauge theories built on various quantum space–times described by noncommutative space–times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
