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Accession number;06A0312729
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| Title;An invariant approach to dynamical fuzzy spaces with a three-index variable-Euclidean models |
| Author;
SASAKURA NAOKI
(Kyoto Univ., Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.05-70;PAGE.15P(2005)
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| Figure&Table&Reference;FIG.4, REF.21 |
| Pub. Country;Japan |
| Language;English |
| Abstract;Dynamical 3-index variables Cab'c' are studied, which specify the algebraic relations fafb=Cab'c'fc between the functions fa defined on a fuzzy space. A fuzzy analog of the general coordinate transformation is given in terms of the general linear transformation on fa. Solutions to the equation of motion for Cab'c' are constructed from the invariant tensors of Lie groups. Euclidean models are introduced, and Lie-group symmetric classical solutions are derived. Fluctuations around the SO(3)-symmetric solution are analyzed to show that the space associated with the solution can be regarded as a fuzzy S2/Z2. |
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