Graded constraint algebras,OSP(1, 1|2) and superstring theory |
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| Affiliation: | 1. College of Civil Engineering, Hunan University, Changsha 410082, China;2. Key Laboratory for Damage Diagnosis of Engineering Structures of Hunan Province (Hunan University), Changsha, Hunan 410082, China;3. Centre for Light and Environmentally-Friendly Structures, Fraunhofer Wilhelm-Klauditz-Institut WKI, Bienroder Weg 54E, 38108 Braunschweig, Germany;4. Department of Organic and Wood-Based Construction Materials, Technical University of Braunschweig, Hopfengarten 20, 38102 Braunschweig, Germany;5. School of Architecture, Konkuk University, Seoul 05029, Republic of Korea;1. The Department of Kinesiology, The University of North Carolina at Greensboro, Greensboro, NC, United States;2. School of Kinesiology, Louisiana State University, LA, United States;3. Emory Sports Performance and Research Center, Flowery Branch, GA, United States;4. Department of Orthopaedics, Emory University School of Medicine, Atlanta, GA, United States |
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| Abstract: | Earlier, we have established that, for a constrained system with a first class bosonic constraint algebra, the standard BRST invariance generalizes to an OSP(1, 1|2) symmetry, with four nilpotent and anticommuting BRST-type operators. Here we generalize this to arbitrary constrained systems with a graded first class constraint algebra. Our approach is based on the Fradkin- Vilkovisky formalism and uses a relation between abelian and nonabelian constraint algebras. Subsidiary constraints and generalized structure constants play an important role in the construction. As an application, we construct the OSP(1, 1|2) generators for superstrings. Here the subsidiary constraints are identified with physically relevant operators used in the unitarity proof. |
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