Andreas Honecker

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In conformal field theory we investigate the representations of recently discovered W-algebras with a single generator in addition to the Virasoro field. We show that many of these W-algebras have only a finite number of highest weight representations. We describe methods for the classification and give complete lists. In a sporadic case we determine(More)
We construct several quantum cosetW-algebras, e.g. ̂ sl(2, IR)/Û(1) and ̂ sl(2, IR)⊕ ̂ sl(2, IR)/ ̂ sl(2, IR), and argue that they are finitely nonfreely generated. Furthermore, we discuss in detail their rôle as unifying W-algebras of Casimir W-algebras. We show that it is possible to give coset realizations of various types of unifying W-algebras, e.g.(More)
We show that quantum Casimir W-algebras truncate at degenerate values of the central charge c to a smaller algebra if the rank is high enough: Choosing a suitable parametrization of the central charge in terms of the rank of the underlying simple Lie algebra, the field content does not change with the rank of the Casimir algebra any more. This leads to(More)
Using perturbative methods we derive new results for the spectrum and correlation functions of the general ZZ3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first excitations in the zero momentum sector give excellent approximations and confirm the general statement that the(More)
The hopping motion of classical particles on a chain coupled to reservoirs at both ends is studied for parallel dynamics with arbitrary probabilities. The stationary state is obtained in the form of an alternating matrix product. The properties of oneand two-dimensional representations are studied in detail and a general relation of the matrix algebra to(More)
In 2D conformal quantum field theory, we continue a systematic study of W-algebras with two and three generators and their highest weight representations focussing mainly on rational models. We review the known facts about rational models of W(2, δ)-algebras. Our new rational models of W-algebras with two generators all belong to one of the known series.(More)