ope.math: operator product expansions in free field realizations of conformal field theory

1994 ◽  
Vol 79 (1) ◽  
pp. 78-99 ◽  
Author(s):  
Akira Fujitsu
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Free Field ◽  
Operator Product ◽  
Conformal Field

A MATHEMATICA™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS

1991 ◽  
Vol 02 (03) ◽  
pp. 787-798 ◽  
Author(s):  
K. THIELEMANS
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Free Field ◽  
Standard Form ◽  
General Purpose ◽  
Operator Product ◽  
Conformal Anomaly ◽  
Moody Algebra ◽  
Conformal Field ◽  
Free Field Realization

A general purpose Mathematica™ package for computing Operator Product Expansions of composite operators in meromorphic conformal field theory is described. Given the OPEs for a set of “basic” fields, OPEs of arbitrarily complicated composites can be computed automatically. Normal ordered products are always reduced to a standard form. Two explicit examples are presented: the conformal anomaly for superstrings and a free field realization for the [Formula: see text] Kač-Moody-algebra.

scholarly journals THE FREE FIELD REPRESENTATION OF SU(3) CONFORMAL FIELD THEORY

1993 ◽  
Vol 08 (23) ◽  
pp. 4031-4053
Author(s):  
HOVIK D. TOOMASSIAN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Free Field ◽  
Field Representation ◽  
Conformal Field ◽  
Point Correlation

The structure of the free field representation and some four-point correlation functions of the SU(3) conformal field theory are considered.

scholarly journals Operator product expansion convergence in conformal field theory

2012 ◽  
Vol 86 (10) ◽  
Author(s):  
Duccio Pappadopulo ◽  
Slava Rychkov ◽  
Johnny Espin ◽  
Riccardo Rattazzi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Conformal Field

scholarly journals Logarithmic Operators in Conformal Field Theory and the ${\mathcal W}_\infty$-Algebra

1997 ◽  
Vol 12 (21) ◽  
pp. 3723-3738 ◽  
Author(s):  
A. Shafiekhani ◽  
M. R. Rahimi Tabar
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Operator Product Expansion ◽  
Field Theories ◽  
Operator Product ◽  
Tensor Operator ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Point Correlation

It is shown explicitly that the correlation functions of conformal field theories (CFT) with the logarithmic operators are invariant under the differential realization of Borel subalgebra of [Formula: see text]-algebra. This algebra is constructed by tensor-operator algebra of differential representation of ordinary [Formula: see text]. This method allows us to write differential equations which can be used to find general expression for three- and four-point correlation functions possessing logarithmic operators. The operator product expansion (OPE) coefficients of general logarithmic CFT are given up to third level.

scholarly journals Massless Wigner particles in conformal field theory are free

2014 ◽  
Vol 2 ◽  
Author(s):  
YOH TANIMOTO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Tensor Product ◽  
Free Field ◽  
Massless Particle ◽  
Particle Spectrum ◽  
Conformal Field

AbstractWe show that the massless particle spectrum in a four-dimensional conformal Haag–Kastler net is generated by a free field subnet. If the massless particle spectrum is scalar, then the free field subnet decouples as a tensor product component.

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