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arXiv · hep-lat/9706009

The quantum space-time of c=-2 gravity

J. Ambjorn·K. N. Anagnostopoulos·T. Ichihara·L. Jensen·N. Kawamoto·Y. Watabiki·K. Yotsuji
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Abstract

We study the fractal structure of space-time of two-dimensional quantum gravity coupled to c=-2 conformal matter by means of computer simulations. We find that the intrinsic Hausdorff dimension d_H = 3.58 +/- 0.04. This result supports the conjecture d_H = -2 α_1/α_{-1}, where α_n is the gravitational dressing exponent of a spinless primary field of conformal weight (n+1,n+1), and it disfavours the alternative prediction d_H = 2/|γ|. On the other hand ~ r^{2n} for n>1 with good accuracy, i.e. the boundary length l has an anomalous dimension relative to the area of the surface.

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J. Ambjorn, K. N. Anagnostopoulos, T. Ichihara, L. Jensen, N. Kawamoto, Y. Watabiki, K. Yotsuji. 1997-06-09. The quantum space-time of c=-2 gravity. https://doi.org/10.1016/s0550-3213(97)00659-7

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