184 citations
- Instituto Superior TécnicoPT4 papers
- Mediterranean Institute for Advanced StudiesSI4 papers
- Universitat de les Illes BalearsES3 papers
- Consejo Superior de Investigaciones CientíficasES2 papers
- IfremerFR2 papers
- Institute for Cross-Disciplinary Physics and Complex SystemsES2 papers
- University of LisbonPT2 papers
- Max Planck Institute for Gravitational PhysicsDE1 paper
- Steklov Mathematical InstituteRU1 paper
- The Ohio State UniversityUS1 paper
- Universidade de Santiago de CompostelaES1 paper
- University of GlasgowGB1 paper
5 papers · 1 filter
The 1,2-coloured HOMFLY-PT link homology
Marco Mackaay, Marko Stosic, Pedro Vaz
In this paper we define the 1,2-coloured HOMFLY-PT link homology and prove that it is a link invariant. We conjecture that this homology categorifies the coloured HOMFLY-PT polynom…
Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
P. P. Kulish, N. Manojlovic, Z. Nagy
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra…
Algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We implement the Bethe anstaz method for the elliptic quantum group . The Bethe creation operators are constructed as polynomials of the Lax matrix elements exp…
Construction of the Bethe State for the Elliptic Quantum Group
Nenad Manojlovic, Zoltan Nagy
Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the …
Creation operators and algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We define the elliptic quantum group and the transfer matrix corresponding to its simplest highest weight representation. We use Bethe anstaz method to construct th…