Advertisement

Theoretical and Mathematical Physics

, Volume 93, Issue 1, pp 1101–1105 | Cite as

QPFT operator algebras and commutative exterior differential calculus

  • D. V. Yur'ev
Article

Abstract

The reduction of the structure theory of the operator algebras of quantum projective (sl(2, ℂ)-invariant) field theory (QPFT operator algebras) to a commutative exterior differential calculus by means of the operation of renormalization of a pointwise product of operator fields is described.

Keywords

Field Theory Operator Field Operator Algebra Structure Theory Differential Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. V. Yur'ev,Algebra i Analiz,2, No. 2, 209 (1990);3, No. 3, 209 (1991);Teor. Mat. Fiz.,86, 338 (1991);Usp. Mat. Nauk,46, 115 (1991).Google Scholar
  2. 2.
    I. B. Frenkel, Yi-Zhi Huang, and J. Lepowsky, “On axiomatic approach to vertex operator algebras and modules,” Preprint No. 31, Rutgers University, New Brunswick (1990).Google Scholar
  3. 3.
    D. Juriev,J. Math. Phys.,33, No. 7 (1992).Google Scholar
  4. 4.
    A. Z. Patashinskii and V. L. Pokrovskii,Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1982); I. Frenkel, J. Lepowsky, and A. Meurman,Vertex Operator Algebras and the Monster, Academic Press (1988); P. Goddard, “Meromorphic conformal field theory,” in:Infinite-Dimensional Lie Algebras and Lie Groups: Proc. CIRM-Luminy Conf. Singapore, World Scientific (1989).Google Scholar
  5. 5.
    E. Witten,Nucl. Phys. B,268, 253 (1986);Commun. Math. Phys.,113, 529 (1988).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • D. V. Yur'ev

There are no affiliations available

Personalised recommendations