TL;DR
This paper introduces a q-deformed version of four-dimensional conformal field theory using quantum algebra, calculating key correlation functions while ensuring compatibility with Hopf algebra structure.
Contribution
It develops a novel q-analogue of conformal field theory based on U_q(so(4,2)), including explicit calculations of two- and three-point functions.
Findings
Two- and three-point correlation functions are explicitly calculated.
The construction aligns with Hopf algebra structure.
The framework extends conformal field theory into the quantum algebra domain.
Abstract
A q-analogue of four dimensional conformally invariant field theory based on the quantum algebra U_{q}(so(4,2)) is proposed. The two- and three-point correlation functions are calculated. The construction is elaborated in order to fit the Hopf algebra structure.
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