534 citations · 3.1k across the 80 of their papers we have counts for
11 papers · 1 filter
Canonical formulation for the thermodynamics of -invariant integrable spin chains
T. S. Tavares, I. R. Passos, A. Klümper
Integrable quantum spin chains display distinctive physical properties making them a laboratory to test and assess different states of matter. The study of the finite temperature p…
Critical site percolation on the triangular lattice: From integrability to conformal partition functions
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
Critical site percolation on the triangular lattice is described by the Yang-Baxter solvable dilute loop model with crossing parameter specialized to , cor…
On the partition function of the integrable vertex model
G. A. P. Ribeiro, A. Klümper, P. A. Pearce
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under symmetry. We establish a set o…
Oscillator versus prefundamental representations II. Arbitrary higher ranks
H. Boos, F. Göhmann, A. Klümper +2
We find the -weights and the -weight vectors for the highest -weight -oscillator representations of the positive Borel subalgebra of the quantum loop algebra $…
Oscillator versus prefundamental representations
H. Boos, F. Göhmann, A. Klümper +2
For the case of quantum loop algebras with we find the -weights and the corresponding -weight vectors for th…
Quantum groups and functional relations for lower rank
Kh. S. Nirov, A. V. Razumov
A detailed construction of the universal integrability objects related to the integrable systems associated with the quantum group is giv…
Quantum groups and functional relations for higher rank
H. Boos, F. Göhmann, A. Klümper +2
A detailed construction of the universal integrability objects related to the integrable systems associated with the quantum group is giv…
Correlation lengths of the repulsive one-dimensional Bose gas
Ovidiu I. Patu, Andreas Klumper
We investigate the large-distance asymptotic behavior of the static density-density and field-field correlation functions in the one-dimensional Bose gas at finite temperature. The…
Universal integrability objects
H. Boos, F. Göhmann, A. Klümper +2
We discuss the main points of the quantum group approach in the theory of quantum integrable systems and illustrate them for the case of the quantum group $U_q(\mathcal L(\mathfrak…
Universal R-matrix and functional relations
H. Boos, F. Göhmann, A. Klümper +2
We collect and systematize general definitions and facts on the application of quantum groups to the construction of functional relations in the theory of integrable systems. As an…
Exercises with the universal R-matrix
Herman Boos, Frank Göhmann, Andreas Klümper +2
Using the formula for the universal -matrix proposed by Khoroshkin and Tolstoy, we give a detailed derivation of -operators for the quantum groups associated with the general…