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Three algebraic structures of quantum projective [sl(2, C)-invariant] field theory

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Abstract

Systematic studies are made of three algebraic structures of quantum projective [sl(2, ℂ)-invariant] field theory: the operator algebra Vert(sl(2, ℂ)), the infinite-dimensionalR matrixR proj(u), and the deformationT ℏ(ℝ) of the algebraT(ℝ) of weighted-shift operators, which is associated with expansion of the renormalized pointwise product of vertex operator fields.

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Authors
  1. S. A. Bychkov
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  2. D. V. Yur'ev
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Additional information

State Geological and Prospecting Academy, Moscow; Department of Mathematics in the Research Institute of System Investigations (Information Technologies), Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 97, No. 3, pp. 336–347, December, 1993.

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Bychkov, S.A., Yur'ev, D.V. Three algebraic structures of quantum projective [sl(2, C)-invariant] field theory. Theor Math Phys 97, 1333–1339 (1993). https://doi.org/10.1007/BF01015762

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  • DOI: https://doi.org/10.1007/BF01015762

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