Matrix Models, Quantum Spaces, and Gravity

supported by the FWF, P21610

The aim of this project is to study the effective or „emergent“ gravity which is described by certain matrix models of Yang-Mills type, in particular the so-called IKKT or IIB matrix model. This model is expected to provide a consistent quantum theory of gravity and Yang-Mills gauge theory coupled to matter. As such it is one of the most promising candidates for a consistent unification of gravity with quantum mechanics, which is one of the long-standing fundamental problems in theoretical physics. The essential new ingredient compared with other, more conventional approaches is that space-time is described as a 3+1-dimensional „brane“ solution of the matrix model, which is really a noncommutative i.e. quantized space. This means that the usual concepts of geometry do not apply at very short scales, but are replaced by noncommutative geometry.

A very simple sketch of the model can be found here.

For a more detailed exposition see here

Frequently asked questions about the physics involved

The current members of this research group are

Dr. Daniel Blaschke (postdoc),

Mag. Paul Schreivogel (Ph.D. student),

Nikolaj Kuntner (Diploma student),

myself