7,096 research outputs found
Cocycle Properties of String Theories on Orbifolds
We study cocycle properties of vertex operators and present an operator
representation of cocycle operators, which are attached to vertex operators to
ensure the duality of amplitudes. It is shown that this analysis makes it
possible to obtain the general class of consistent string theories on
orbifolds.Comment: 40 pages (Talk given at Workshop on ``Recent Developments in String
and Field theory", Kyoto, Japan on September 9-12, 1991.
Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction
We solve the Wheeler-DeWitt equation for {\it four}-dimensional Einstein
gravity as an expansion in powers of the Planck mass by means of a heat kernel
regularization. Our results suggest that in the universe with a very small
radius or with a very large curvature beyond a Planck scale expectation values
of operators are reduced to calculations in a path integral representation of
{\it three}-dimensional Einstein gravity.Comment: 9 pages, latex file, KOBE-TH-94-0
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