Quantization and BRST Cohomology of Pure Two-Dimensional Gravity

Journal Article · Wed Oct 31 23:00:00 EST 1990 · No journal information

OSTI ID:2998887

Griffin, Paul A. ^[1]

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1. Fermilab

The path integral description of the continuum theory of pure 2-D gravity has a special local gauge symmetry, in addition to general coordinate invariance. Because of the additional symmetry, I argue that the gauge fixed path integral is not described by the non-local Polyakov action of the conformal anomaly. Instead, the quantum theory is described by a "topological gravity" model, which is treated in this paper in the framework of conventional conformal field theory. The construction of fields in the BRST cohomology is given in some detail, and the analysis leads to new candidate physical states.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 2998887
• Report Number(s): FERMILAB-PUB-90-202-T; oai:inspirehep.net:300463
• Journal Information: No journal information, Journal Name: No journal information
• Country of Publication: United States
• Language: English