Some Classical Solutions of Membrane Matrix Model Equations

Hoppe, Jens

doi:10.1007/978-94-011-4730-9_18

Jens Hoppe⁷

Part of the book series: NATO ASI Series ((ASIC,volume 520))

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Abstract

Let X _i(t), i = 1, …,d, be time-dependent elements of some (Lie-) algebra A, satisfying (cp. [1, 2, 3, 4])

$${{\ddot X}_i} = - \sum\limits_{j = 1}^d {\left[ {[{X_i},{X_j}],{X_j}} \right]} $$

(0.1)

$$\sum\limits_{i = 1}^d {[{X_i},{{\dot X}_i}] = 0} $$

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References

J. Hoppe; “Quantum Theory of a Relativistic Surface”, in: “Constraint’s Theory and Relativistic Dynamics” (eds. G. Longhi, L. Lusanna) Arcetri, Florence 1986, World Scientific.
Google Scholar
J. Hoppe, H. Nicolai; Phys. Lett. B 196(1987)451.
Article MathSciNet ADS Google Scholar
B. de Wit, J. Hoppe, H. Nicolai; Nucl. Phys. B305[FS23](1988)545.
Article ADS Google Scholar
T. Banks, W. Fischler, S.H. Shenker, L. Susskind; “M Theory as a Matrix Model: a Conjecture”, hep-th/9610043.
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J. Hoppe, “Lectures On Integrable Systems”, Springer Lecture Notes on Physics, 1992.
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J. Hoppe, Phys. Lett. B250(1990)44.
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J. Hoppe, Int. J. Mod. Phys. A4(1989)5235; hep-th/9612024.
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M. Bordemann, J. Hoppe, P. Schaller, and M. Schlichenmaier, Comm. Math. Phys. 138(1991)209; M. Bordemann, E. Meinrenken, and M. Schlichenmaier, Comm. Math. Phys. 165(1994)281.
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Authors and Affiliations

Institute for Theoretical Physics, ETH Hönggerberg, CH-8093, Zürich, Switzerland
Jens Hoppe

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Jens Hoppe
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CNRS and Université Pierre et Marie Curie (Paris VI), Paris, France
Laurent Baulieu & Marco Picco &
University of North Carolina at Chapel Hill, Chapel Hill, NC, USA
Philippe Di Francesco
Rutgers University, Piscataway, NJ, USA
Michael Douglas
Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
Michael Douglas
Université Pierre et Marie Curie (Paris VI), and École Normale Supérieure, Paris, France
Vladimir Kazakov
Université Pierre et Marie Curie (Paris VI), Paris, France
Paul Windey

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Hoppe, J. (1999). Some Classical Solutions of Membrane Matrix Model Equations. In: Baulieu, L., Di Francesco, P., Douglas, M., Kazakov, V., Picco, M., Windey, P. (eds) Strings, Branes and Dualities. NATO ASI Series, vol 520. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4730-9_18

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DOI: https://doi.org/10.1007/978-94-011-4730-9_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5989-3
Online ISBN: 978-94-011-4730-9
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