Introduction to Poisson σ-models

  • P. Schaller
  • Th. Strobl
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 469)


Poisson Bracket Target Space Poisson Structure Poisson Manifold Casimir Function 
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  1. 1.
    P. Schaller and T. Strobl, Mod. Phys. Letts. A9 (1994) 3129, and Quantization of Field Theories Generalizing Gravity-Yang-Mills Systems on the Cylinder, In: LNP 436, p. 98, Integrable Models and Strings, eds. A.Alekseev et al, Springer 1994 or gr-qc/9406027.CrossRefADSMathSciNetzbMATHGoogle Scholar
  2. 2.
    A.Y.Alekseev, P.Schaller and T.Strobl, The Topological G/G WZW Model in the Generalized Momentum Representation, hep-th/9505012.Google Scholar
  3. 3.
    P.Schaller and T.Strobl, Poisson σ-models: A generalization of Gravity-Yang-Mills Systems in Two Dimensions, to appear in Proc. of ‘Conference on Integrable Systems', Dubna 1994 or hep-th/9411163.Google Scholar
  4. 4.
    For more details confer, e.g., Y. Choquet-Bruhat, C. DeWitt-Morette, Analysis, Manifolds and Physics, Part II: 92 Applications, North-Holland Physics 1989.Google Scholar
  5. 5.
    W. Thirring, Lehrbuch der Mathematischen Physik, Band 1, Springer Wien New York 1979. R. Abraham and J.E. Marsden, Foundations of Mechanics, Benjamin, New York (2nd Edition) 1981.Google Scholar
  6. 6.
    D. Birmingham, M. Blau, M. Rakowski and G. Thompson, Phys. Rep. 209 (1991) 129.CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    T.Klösch and T.Strobl, Classical and Quantum Gravity in 1+1 Dimensions, Parts I,II,III, in preparation.Google Scholar
  8. 8.
    D. Amati, S. Elitzur and E. Rabinovici, Nucl. Phys. 418 (1994) 45.CrossRefADSMathSciNetzbMATHGoogle Scholar
  9. 9.
    Cf. also N.M.J. Woodhouse, Geometric Quantization, second Edition 1992, Clarendon Press, Oxford.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • P. Schaller
    • 1
  • Th. Strobl
    • 2
  1. 1.Institut für Theoretische PhysikTU WienViennaAustria
  2. 2.Institut für Theoretische PhysikRWTH AachenAachenGermany

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