Zobrazeno 1 - 10
of 198
pro vyhledávání: '"Burdik, C."'
Autor:
Burdik, C., Navratil, O.
This paper continues our recent studies on the algebraic Bethe ansatz for the RTT-algebras of sp($2n$) and o($2n$) types. In these studies, we encountered the RTT-algebras which we called An. The next step in our construction of the Bethe vectors for
Externí odkaz:
http://arxiv.org/abs/2008.04825
Autor:
Burdik, C., Navratil, O.
We study the highest weight representations of the RTT algebras for the R matrix of sp_q(2n) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R matrix of sp(2n) and so(2n) type
Comment: Presented on XIII. Intern
Comment: Presented on XIII. Intern
Externí odkaz:
http://arxiv.org/abs/1911.05460
Publikováno v:
International Journal of Modern Physics A 35 (2020) 2050154
Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a $d$-dimensional Minkowski space-time using a metric-like formulation are constructed on the basis of a constrained BRST-BFV approach we propose. The resulting BRST-B
Externí odkaz:
http://arxiv.org/abs/1906.02585
Autor:
Vinitsky, S., Burdik, C., Gusev, A., Deveikis, A., Gozdz, A., Pedrak, A., Krassovitskiy, P. M.
An efficient procedure of orthonormalisation of the Bargmann-Moshinsky (BM) basis is examined using analytical formulas of the overlap integrals of the BM basis. Calculations of components of the quadrupole operator between the both BM and the orthon
Externí odkaz:
http://arxiv.org/abs/1812.02270
Publikováno v:
Phys.Part.Nucl. 46 (2015) 3, 277-309
The integrable close and open chain models can be formulated in terms of generators of the Hecke algebras. In this review paper, we describe in detail the Bethe ansatz for the XXX and the XXZ integrable close chain models. We find the Bethe vectors f
Externí odkaz:
http://arxiv.org/abs/1412.3999
This paper has been withdrawn by the authors since it was strongly elaborated, some new sections appeared. This made the paper significantly differ from current version. Besides two new authors participated in the work. So the authors believe that ne
Externí odkaz:
http://arxiv.org/abs/1204.5843
Publikováno v:
SIGMA 6 (2010), 010, 13 pages
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z_q(gl(n+1),gl(n)) is given in terms of the generators and their defining relations. Using this
Externí odkaz:
http://arxiv.org/abs/0912.5403
Autor:
Burdik, C., Navratil, O.
We propose new formulas for eigenvectors of the Gaudin model in the $\sl(3)$ case. The central point of the construction is the explicit form of some operator P, which is used for derivation of eigenvalues given by the formula $| w_1, w_2) = \sum_{n=
Externí odkaz:
http://arxiv.org/abs/0805.4495
It is presented a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on a treating of a constancy of a coupling constant as a dynamical constraint following as an equation of
Externí odkaz:
http://arxiv.org/abs/hep-th/0610009
Publikováno v:
Czech.J.Phys. 55 (2005) 1357-1364
We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A particular case with Eguchi--Hanson target space is in
Externí odkaz:
http://arxiv.org/abs/hep-th/0508165