In an extension of earlier work we investigate the behaviour of two-dimensional Lorentzian quantum gravity under coupling to a conformal field theory with c > 1. This is done by analyzing numericallyâ€¦ (More)

We present the first Monte Carlo results for supersymmetric matrix quantum mechanics with 16 supercharges at finite temperature. The recently proposed nonlattice simulation enables us to include theâ€¦ (More)

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 on points V1 and V2â€¦ (More)

We show that there exists a divergent correlation length in 2d quantum gravity for the matter elds close to the critical point provided one uses the invariant geodesic distance as the measure ofâ€¦ (More)

In string or M theories, the spontaneous breaking of 10D or 11D Lorentz symmetry is required to describe our space-time. A direct approach to this issue is provided by the IIB matrix model. We studyâ€¦ (More)

We study a 4d supersymmetric matrix model with a cubic term, which incorporates fuzzy spheres as classical solutions, using Monte Carlo simulations and perturbative calculations. The fuzzy sphere inâ€¦ (More)

We study the diffusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorff dimension of the ensemble ofâ€¦ (More)

We study the question whether matrix models obtained in the zero volume limit of 4d Yangâ€“Mills theories can describe large N QCD strings. The matrix model we use is a variant of the Eguchiâ€“Kawaiâ€¦ (More)

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super YangMills theory (a 4d counter part of the IKKT model or IIB matrix model). The eigenvalue distributionâ€¦ (More)

We study the coupling of Abelian gauge theories to four-dimensional simplicial quantum gravity. The gauge fields live on dual links. This is the correct formulation if we want to compare the effectâ€¦ (More)