40.2k citations
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4 papers · 1 filter
The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian
Konstantinos N. Anagnostopoulos, Mark J. Bowick, Albert Schwarz
The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions o…
Three-Dimensional Gravity and String Ghosts
S. Carlip, I. I. Kogan
It is known that much of the structure of string theory can be derived from three-dimensional topological field theory and gravity. We show here that, at least for simple topologie…
(2+1)-Dimensional Chern-Simons Gravity as a Dirac Square Root
Steven Carlip
For (2+1)-dimensional spacetimes with the spatial topology of a torus, the transformation between the Chern-Simons and ADM versions of quantum gravity is constructed explicitly, an…
On the solutions to the string equation
A. Schwarz
The set of solutions to the string equation where and are differential operators is described.It is shown that there exists one-to-one correspondence between this…