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- W. Eholzer, M. Flohr, A. Honecker, R. Hübel, W. Nahm, R. Varnhagen
- 1992

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)

- R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Hübel
- 1995

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)

- R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, R. Hübel
- 1994

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)

- Universität Bonn, N S Han, A Honecker
- 1994

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)

- A. Honecker, I. Peschel
- 1996

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)

- A. Honecker
- 1993

Many extended conformal algebras with one generator in addition to the Virasoro field as well as Casimir algebras have non-trivial outer automorphisms which enables one to impose ‘twisted’ boundary conditions on the chiral fields. We study their effect on the highest weight representations. We give formulae for the enlarged rational conformal field theories… (More)

- A. Honecker, I. Peschel
- 1996

We re-examine a two-dimensional forest-fire model via Monte-Carlo simulations and show the existence of two length scales with different critical exponents associated with clusters and with the usual two-point correlation function of trees. We check resp. improve previously obtained values for other critical exponents and perform a first investigation of… (More)

- A. Honecker, R. Hübel
- 1992

In this paper we consider the representation theory of N = 1 Super-W-algebras with two generators for conformal dimension of the additional superprimary field between two and six. In the superminimal case our results coincide with the expectation from the ADE-classification. For the parabolic algebras we find a finite number of highest weight… (More)

First, an algebraic criterion for integrability is discussed –the so-called ‘superintegrability’– and some results on the classification of superintegrable quantum spin Hamiltonians based on sl(2) are obtained. Next, the massive phases of the Zn-chiral Potts quantum spin chain (a model that violates parity) are studied in detail. It is shown that the… (More)

- A. Honecker, R. Hübel
- 1993

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)