Об’єднанi (p, q; a, y, l)-деформацiї осциляторних та гiбридних осциляторних алгебр i двовимiрної конформної теорiї поля

• Main Author: Burban, I. M.
• Format: Article
• Language: English
• Published: Publishing house "Academperiodika" 2018
• Subjects: generalized deformed oscillator algebra; structure function; generalized Jordan–Schwinger and Holstein–Primakoff transformations; deformed two-dimensional conformal field theory
• Online Access: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018391

The unified multiparametric generalizations of the well-known two-parameter deformed oscillator and hybrid oscillator algebras are introduced. The basic versions of these deformations are obtained by imputing the new free parameters in the structure functions and by a generalization of defining relations of these algebras. The generalized Jordan–Schwinger and Holstein–Primakoff realizations of the U^aypq (su(2)) algebra by the creations and annihilations operators of the basic versions of these deformations are found. The (p, q; a, y, l)-deformation of the two-dimensional conformal field theory is considered. The pole structure of the (p, q; a, y, l)-deformed operator product expansion (OPE) of the holomorphic component of the energy-momentum tensor with primary fields is found. The two-point correlation function of the (p, q; a, y, l)-deformed two-dimensional conformal field theory is calculated.