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Unified (p,q; α,γ, l)-deformation of oscillator algebra and two-dimensional conformal field theory

arXiv
Authors: I. M. Burban

Year

2013

Paper ID

32723

Status

Preprint

Abstract Read

~2 min

Abstract Words

118

Citations

N/A

Abstract

The unified (p,q; α,γ, l)-deformation of a number of well-known deformed oscillator algebras is introduced.The deformation is constructed by imputing new free parameters into the structure functions and by generalizing the defining relations of these algebras. The generalized Jordan-Schwinger and Holstein-Primakoff realizations of the Upqαγl(su(2)) algebra by the generalized (p,q; α,γ, l)-deformed operators are found. The generalized (p,q; α,γ, l)-deformation of the two-dimensional conformal field theory is established. By introducing the (p,q; α,γ, l)-operator product expansion (OPE) between the energy momentum tensor and primary fields, we obtain the (p,q; α,γ, l)-deformed centerless Virasoro algebra. The two-point correlation function of the primary generalized (p,q; α,γ, l)-deformed fields is calculated.

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  • The unified (p,q; α,γ, l)-deformation of a number of well-known deformed oscillator algebras is introduced.The deformation is constructed by imputing new free parameters into...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.3499 [2] arXiv https://arxiv.org/abs/1309.3499 [3] Publisher https://arxiv.org/abs/1309.3499

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