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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 156–167
DOI: https://doi.org/10.4213/tmf9891 (Mi tmf9891) 		 
Construction of the Dirac operator on the $q$-deformed quantum space $EAdS^2$ using a generalized $q$-deformed Ginsparg–Wilson algebra

M. Lotfizadeh, R. Feyzi

Department of Physics, Faculty of Science, Urmia University, Urmia, Iran
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DOI: https://doi.org/10.4213/tmf9891
Abstract: We construct $q$-deformed Dirac and chirality operators on the $q$-deformed quantum space $EAdS^2$ using a generalized quantum Ginsparg–Wilson algebra. We show that in the limit $q\to1$, these operators become the Dirac and chirality operators on the undeformed quantum space $EAdS^2$.
Keywords: Ginsparg–Wilson algebra, Dirac operator, quantum group.
Received: 21.02.2020
Revised: 21.02.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1381–1390
DOI: https://doi.org/10.1134/S0040577920100116
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Lotfizadeh, R. Feyzi, “Construction of the Dirac operator on the $q$-deformed quantum space $EAdS^2$ using a generalized $q$-deformed Ginsparg–Wilson algebra”, TMF, 205:1 (2020), 156–167; Theoret. and Math. Phys., 205:1 (2020), 1381–1390
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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