Double Numbers and Two Dimensional Anomaly Free Field Models

  • V. Hrytsau
  • Yu. A. Kurochkin
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)


In ref.[1] it has been made the certain assertions concerning possibility of nonanomalous quantization of the string inspired model [2] of two dimensional gravity. In some variables this model can be described by the first class constraints as in the case of ordinary relativistic bosonic string in two dimensional space-time.The ring of double numbers is natural tool for woking with the two dimensional Minkowski space.We propose the model of the two-dimensional quantum gravity wich is invariant with respect to the two-dimensional superluminal Lorentz transformation.The Virasoro algebra of the quantum gravity model defined over double number ring is found to be without conformal anomaly.


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    Callan, C., Giddings, S., Harvey, J., Strominger, A.: Phys.Rev. D 45 (1992) 1005.ADSMathSciNetGoogle Scholar
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    Hucks, J.: J.Math.Phys. 34 (1993) 12.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • V. Hrytsau
    • 1
  • Yu. A. Kurochkin
    • 1
  1. 1.Institute of Physics National Academy of Sciences of BelarusBelarus

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