Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Jackiw, R.: E-print archive, gr-qc/9612052.
Callan, C., Giddings, S., Harvey, J., Strominger, A.: Phys.Rev. D 45 (1992) 1005.
Hucks, J.: J.Math.Phys. 34 (1993) 12.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hrytsau, V., Kurochkin, Y.A. (2000). Double Numbers and Two Dimensional Anomaly Free Field Models. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_14
Download citation
DOI: https://doi.org/10.1007/3-540-46552-9_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67112-1
Online ISBN: 978-3-540-46552-2
eBook Packages: Springer Book Archive