Symplectic geometry of strings

Journal Article · Tue Nov 01 04:00:00 EST 1988 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(88)90154-6· OSTI ID:6588180

Niemi, A J

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 chemically bond 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 chemically bond 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. copyright 1988 Academic Press, Inc.

• Research Organization: Department of Physics, Ohio State University, Columbus, Ohio 43210
• OSTI ID: 6588180
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 187:2; ISSN APNYA
• Country of Publication: United States
• Language: English

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GEOMETRY
INVARIANCE PRINCIPLES
LIE GROUPS
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