On matrix model compactification on non-commutative F<sub>0</sub> geometry
I Benkaddour; M Bennai; E Y Diaf; E H Saidi; I Benkaddour; UFR, Physique des Hautes Energies, Faculté des Sciences, Rabat, Kingdom of Morocco; M Bennai; UFR, Physique des Hautes Energies, Faculté des Sciences, Rabat, Kingdom of Morocco; E Y Diaf; UFR, Physique des Hautes Energies, Faculté des Sciences, Rabat, Kingdom of Morocco; E H Saidi; UFR, Physique des Hautes Energies, Faculté des Sciences, Rabat, Kingdom of Morocco
Журнал:
Classical and Quantum Gravity
Дата:
2000-04-21
Аннотация:
Using, the harmonic analysis of the 3- and 2-spheres, we study the compactification of the IKKT model on the F <sub>0</sub> Hirzebruch complex surface. Like for tori and orbifolds, we show that here there also exists a possibility of compactifications of matrix models of M-theory on non-commutative F <sub>0</sub> <sup> </sup> geometry. Other features, such as the extension of Connes et al 's projective module solutions to non-commutative F <sub>0</sub> <sup> </sup> are studied.
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