On Consistent Boundary Conditions for c=1 String Theory

Details On Consistent Boundary Conditions for c=1 String Theory On Consistent Boundary Conditions for c=1 String Theory

1995-01-13

arxiv.org/abs/hep-th/9501039v1

Nucl.Phys. B449 (1995) 80-90

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 postscript figures included

Scientific paper

10.1016/0550-3213(95)00244-M

We introduce a new parametrisation for the Fermi sea of the $c = 1$ matrix model. This leads to a simple derivation of the scattering matrix, and a calculation of boundary corrections in the corresponding $1+1$--dimensional string theory. The new parametrisation involves relativistic chiral fields, rather than the non-relativistic fields of the usual formulations. The calculation of the boundary corrections, following recent work of Polchinski, allows us to place restrictions on the boundary conditions in the matrix model. We provide a consistent set of boundary conditions, but believe that they need to be supplemented by some more subtle relationship between the space-time and matrix model. Inspired by these boundary conditions, some thoughts on the black hole in $c=1$ string theory are presented.

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