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Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is studied.
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For a review with applications to condensed matter and disordered systems see T. Guhr, A. Müller-Groeling and H.A. Weidenmüller, Phys. Rep. 299
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For a review of the matrix version of M-theory and its solutions, see, W. Taylor IV, Rev. Mod. Phys. 73
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L. Susskind, arXiv:hep-th/0101029; A.P. Polychronakos, JHEP 0106
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S.S. Gubser and S.L. Sondhi, Nucl. Phys. B605
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For a review of noncommutative field theories see: M.R. Douglas and N.A. Nekrasov, Rev. Mod. Phys. 73
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H. Steinacker, Nucl. Phys. B679
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M.V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 356
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C. Sämann, SIGMA 6
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V.P. Nair, A.P. Polychronakos and J. Tekel, Phys. Rev. D85
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J. Tekel, Phys. Rev. D87
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