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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 1, Pages 3–16
(Mi tmf5557)
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This article is cited in 2 scientific papers (total in 2 papers)
True BRST symmetry algebra and the theory of its representations
A. V. Voronin, S. S. Horuzhy V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Abstract:
A simple treatment of BRST symmetry is proposed. From the physical point of view, it expresses a symmetry between ghosts and spurions; from the mathematical point of view, the symmetry operations are linear transformations in the superspaee $C_{1,1}$. From this it follows that the true BRST symmetry algebra is $l(1,1)$, the Lie superalgebra of all linear endomorphisms of $C_{1,1}$, which extends the usual BRST algebra of the generators $Q$ and $Q_c$ with two new generators $K=Q^*$ and $R=\{Q,Q^*\}$. The theory
of the representations of $l(1,1)$ is developed systematically. The sets of automorphisms and involutions of $l(1,1)$ are described.
Decompositions into irreducible and indecomposable components are constructed for large classes of representations, both finiteand infinite-dimensional. Particular attention is devoted to the analysis of the indecomposable representations (in particular, a connection between them and subspaces of the continuous spectrum of the generators is found) and also of the metric properties of the indefinite spaces of the representations. A class of physical representations is identified and described in detail.
Received: 23.12.1991
Citation:
A. V. Voronin, S. S. Horuzhy, “True BRST symmetry algebra and the theory of its representations”, TMF, 91:1 (1992), 3–16; Theoret. and Math. Phys., 91:1 (1992), 327–335
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Abstract page: | 363 | Full-text PDF : | 138 | References: | 57 | First page: | 1 |
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