# Karlsruhe 2011 – scientific program

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# MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

## MP 16: Quantum Field Theory in 2 Dimensions

### MP 16.4: Talk

### Thursday, March 31, 2011, 09:30–09:50, 30.45: 201

**Construction of Models in Boundary Quantum Field Theory** — •Marcel Bischoff — Department of Mathematics, University of Rome ''Tor Vergata", Italy

One approach to quantum field theory is the study of nets of von Neumann algebras on a given space-time. In this operator algebraic approach lately a new construction of local and time-translation (but in general not conformal) covariant nets on Minkowski half-plane was given by Longo and Witten by taking as input a chiral conformal net and an element of a semi-group associated to the net. The elements of this abstractly defined semi-group can be seen as deformations of the trivial (conformal) boundary net.

We investigate the construction of non-trivial elements for a family of chiral nets, which therefore give rise to further boundary quantum field theory models.