An investigation of random surface models with applications to the study of 2d quantum gravity

Lines connect the coordinator with its partners. CORDIS does not always give exact coordinates for projects before 2014. These points are placed at city or country level.

Project objective

Random surfaces are membranes whose shape or internal geometry are able to fluctuate. They occur in many different branches of science; examples include microemulsions, biological membranes and phase interfaces. They also play an important role in the study of two-dimensional quantum gravity, in which case the surfaces are of a more mathematical nature. The proposed project is mainly concerned with this last application. The aim is to study such surfaces using a variety of mathematical techniques and possibly computer simulations. In particular, I intend to consider a model in which multiple Ising spins are attached to a random surface, in the form of a planar dynamical phi-cubed graph. This model has attracted considerable interest recently. The primary objective of my work would be to determine the phase diagram for this model, as this would throw some light on various mathematical problems that occur with random surface models.

Original text from CORDIS.

Participants

• UNIVERSITY OF COPENHAGEN · KOEPENHAGENCoordinatorDenmark
• Not availableCity levelUnited Kingdom

Links

• View on CORDIS