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• W2058225539 abstract "A coordinate independent, canonical formulation of bosonic strings is discussed using symplectic geometry on a graded phase space. In particular, it is shown that the BRST invariance, and more generally the Osp(1, 1 | 2) invariance, of a string is coordinate independent. Polarization dependence of the quantum theory, as well as the emergence of the critical dimension related to polarization nonpreserving canonical transformations, is investigated. Gauge invariant and gauge fixed aspects of Osp(1, 1 | 2) cohomology are clarified and the existence of a new type of anomaly, appearing in the gauge fixing, is established. Using nonunitary canonical transformations nilpotent gauge invariant BRST operators are constructed in all dimensions and for all values of intercept. Functional integral formulation of the pertinent world-sheet field theory is free of local Lorentz anomalies, with the lapse and shift fields appearing as dynamical degrees of freedom instead of the Liouville field as in the Polyakov approach." @default.
• W2058225539 created "2016-06-24" @default.
• W2058225539 creator A5054725969 @default.
• W2058225539 date "1988-11-01" @default.
• W2058225539 modified "2023-09-24" @default.
• W2058225539 title "Symplectic geometry of strings" @default.
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• W2058225539 doi "https://doi.org/10.1016/0003-4916(88)90154-6" @default.
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