Lie-algebra cohomology and the Osp(1,12) structure in string theory
We construct an improved Becchi-Rouet-Stora-Tyutin (BRST) operator and present generalizations of the standard BRST quantization and the BRST approach to Lie-algebra cohomology. In particular, we show how Lie-algebra two-cocycles can be related to an Osp(1,12) generalization of the conventional BRST--anti-BRST algebra. As an application we consider open bosonic strings, and explicitly construct the improved BRST operator and the pertinent Osp(1,12) algebra. We conclude that the string is naturally defined in a (D = 28+2)-dimensional Parisi-Sourlas superspace, with phase-space Osp(1,12) invariance generalized into a spacetime Osp(27,12) covariance. We construct the Osp(27,12)-covariant physical string states and establish their equivalence with the conventional D = 26 transverse states through a quantum generalization of the Parisi-Sourlas dimensional reduction. We show how the additional two bosonic dimensions emerge from the conventional BRST approach and observe that the ghost number of Osp(1,12)-invariant physical states vanishes.
- Research Organization:
- Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 5551197
- Journal Information:
- Phys. Rev. D; (United States), Vol. 36:12
- Country of Publication:
- United States
- Language:
- English
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BOSONS
STRING MODELS
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BOUNDARY CONDITIONS
HAMILTONIANS
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QUANTUM FIELD THEORY
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COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE MODELS
QUANTUM OPERATORS
QUARK MODEL
SPACE
SYMMETRY GROUPS
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