Auxiliary representations of Lie algebras and the BRST constructions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTeX

Scientific paper

10.1142/S021773230000027X

The method of construction of auxiliary representations for a given Lie algebra is discussed in the framework of the BRST approach. The corresponding BRST charge turns out to be non -- hermitian. This problem is solved by the introduction of the additional kernel operator in the definition of the scalar product in the Fock space. The existence of the kernel operator is proven for any Lie algebra.

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