Karlsruhe 2011 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 16: Quantum Field Theory in 2 Dimensions

MP 16.2: Talk

Thursday, March 31, 2011, 08:50–09:10, 30.45: 201

Particle aspects of two-dimensional conformal field theories — •Wojciech Dybalski¹ and Yoh Tanimoto² — ¹Zentrum Mathematik, Technische Universität München, D-85747 Garching, Germany — ²Dipartimento di Matematica, Universita di Roma ''Tor Vergata", Via della Ricerca Scientifica 1, I-00133 Roma, Italy

Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts of) Wigner particles in any vacuum sector and the existence of (counterparts of) infraparticles in any charged sector of a given chiral conformal field theory. Moreover, an interesting interplay between infraparticle's momentum and the superselection structure is demonstrated in a large class of examples. This phenomenon resembles electron's momentum superselection in quantum electrodynamics.