Morita equivalence of noncommutative supertori
Abstract
In this paper we study the extension of Morita equivalence of noncommutative tori to the supersymmetric case. The structure of the symmetry group yielding Morita equivalence appears to be intact but its parameter field becomes supersymmetrized having both body and soul parts. Our result is mainly in the two dimensional case in which noncommutative supertori have been constructed recently: The group SO(2,2,V{sub Z}{sup 0}), where V{sub Z}{sup 0} denotes Grassmann even number whose body part belongs to Z, yields Morita equivalent noncommutative supertori in two dimensions.
- Authors:
-
- Department of Physics, Sejong University, Seoul 143-747 (Korea, Republic of)
- Department of Mathematics, Kyungpook National University, Taegu 702-701 (Korea, Republic of)
- Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of)
- Publication Date:
- OSTI Identifier:
- 21362159
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Mathematical Physics
- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 6; Other Information: DOI: 10.1063/1.3432279; (c) 2010 American Institute of Physics; Journal ID: ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; GEOMETRY; SUPERSYMMETRY; SYMMETRY GROUPS; TORI; TWO-DIMENSIONAL CALCULATIONS; MATHEMATICS; SYMMETRY
Citation Formats
Chang-Young, Ee, Kim, Hoil, and Nakajima, Hiroaki. Morita equivalence of noncommutative supertori. United States: N. p., 2010.
Web. doi:10.1063/1.3432279.
Chang-Young, Ee, Kim, Hoil, & Nakajima, Hiroaki. Morita equivalence of noncommutative supertori. United States. https://doi.org/10.1063/1.3432279
Chang-Young, Ee, Kim, Hoil, and Nakajima, Hiroaki. 2010.
"Morita equivalence of noncommutative supertori". United States. https://doi.org/10.1063/1.3432279.
@article{osti_21362159,
title = {Morita equivalence of noncommutative supertori},
author = {Chang-Young, Ee and Kim, Hoil and Nakajima, Hiroaki},
abstractNote = {In this paper we study the extension of Morita equivalence of noncommutative tori to the supersymmetric case. The structure of the symmetry group yielding Morita equivalence appears to be intact but its parameter field becomes supersymmetrized having both body and soul parts. Our result is mainly in the two dimensional case in which noncommutative supertori have been constructed recently: The group SO(2,2,V{sub Z}{sup 0}), where V{sub Z}{sup 0} denotes Grassmann even number whose body part belongs to Z, yields Morita equivalent noncommutative supertori in two dimensions.},
doi = {10.1063/1.3432279},
url = {https://www.osti.gov/biblio/21362159},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 6,
volume = 51,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}
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