INFINITE ADDITIONAL SYMMETRIES IN THE TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY

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Abstract
Additional symmetries in the two-dimensional conformal field theory, generated by currents (2, 3/2, 5/2) and (2, 3/2, 3) have been studied. It has been shown that algebra (2, 3/2, 5/2) is the direct product of algebras (2, 3/2) and (2, 5/2), and algebra (2, 3/2, 3) is the direct product of algebras (2, 3/2) and (2, 3). Associative algebra, formed by multicomponent symmetry generators of spin 3 for SO(3) has also been found.

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