Dual conformal invariance in the Regge limit

The conformal geometry of Random Regge Triangulations

Anisotropic limit of the bond-percolation model and conformal invariance in curved geometries.

We investigate the anisotropic limit of the bond-percolation model in d dimensions, which is equivalent to a (d-1) -dimensional quantum q-->1 Potts model. We formulate an efficient Monte Carlo method for this model. Its application shows that the anisotropic model fits well with the percolation universality class in d dimensions. For three-dimensional rectangular geometry, we determine the crit...

Critical Percolation in the Plane. I. Conformal Invariance and Cardy’s Formula. Ii. Continuum Scaling Limit

We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some percolation-related quantities are harmonic conformal invariants, and calculate their values in the scaling limit. As a particular case we obtain conformal invariance of the crossing probabilities and Cardy’s formula. Then we prove existence, uniqueness, and conformal invarianc...

Conformal Invariance and Qcd Pomeron Vertices in the 1/n C Limit

Using the dipole framework for QCD at small xBj in the 1/Nc limit, we derive the expression of the 1→p dipole multiplicity density in momentum space. This gives an analytical expression for the 1→p QCD Pomeron amplitudes in terms of one-loop integration of effective vertices in transverse momentum. Conformal invariance and a Hilbert space construction for dipole correlation functions are the ma...

Conformal invariance in hydrodynamic turbulence

This short survey is written by a physicist. It contains neither theorems nor precise definitions. Its main content is a description of the results of numerical solution of the equations of fluid mechanics in the regime of developed turbulence. Due to limitations of computers, the results are not very precise. Despite being neither exact nor rigorous, the findings may nevertheless be of interes...