Logarithmic operators in conformal field theory and the W (infinity) algebra

Shafiekhani, A.; Rahimi Tabar, M.R.

doi:10.1142/S0217751X97001912

Logarithmic operators in conformal field theory and the W (infinity) algebra

A. Shafiekhani
(
- IPM, Tehran
)
,
M.R. Rahimi Tabar
(
- IPM, Tehran and
- Sharif U. of Tech.
)

Feb, 1996

18 pages

Published in:

Int.J.Mod.Phys.A 12 (1997) 3723-3738

e-Print:

hep-th/9604007 [hep-th]

DOI:

10.1142/S0217751X97001912

Report number:

IPM-96-138

View in:

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Abstract:

It is shown explicitly that the correlation functions of Conformal Field Theories (CFT) which posses the logarithmic operators are invariant under the Borel subalgebra of

W_\infty

-algebra\, constructed by tensor-operator algebra of \str. The general expression for three and four-point correlation functions which posses logarithmic operators is calculated. The operator product expansion (OPE) coefficients of general logarithmic CFT are given up to third level.

field theory: conformal
dimension: 2
correlation function
algebra: W(infinity)
operator product expansion

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Figures(0)

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