Supergroups in Critical Dimensions and Division Algebras

24th International Conference on Integrable Systems and Quantum symmetries

Burdik, estmir^1,2 ; Catto, Sultan^3,4 ; Gürcan, Yasemin^5 ; Khalfan, Amish^6 ; Kurt, Levent^5 ; La, V. Kato^7

Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna

141980, Russia^1

Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Trojanova 13, Prague

CZ-120 00, Czech Republic^2

Physics Department, Graduate School, City University of New York, New York

NY

10016-4309, United States^3

Theoretical Physics Group, Rockefeller University, 1230 York Avenue, New York

NY

10021-6399, United States^4

Department of Science, Borough of Manhattan CC, City University of NY, New York

NY

10007, United States^5

Physics Department, LaGuardia CC, City University of New York, LIC, NY

11101, United States^6

Columbia University, New York

NY

10027, United States^7

关键词: Critical dimension;    Division algebras;    Heterotic strings;    Jordan algebra;    Magic square;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012009/pdf
DOI  :  10.1088/1742-6596/804/1/012009

来源: IOP

【 摘 要 】

We establish a link between classical heterotic strings and the groups of the magic square associated with Jordan algebras, allowing for a uniform treatment of the bosonic and superstring sectors of the heterotic string.