Zobrazeno 1 - 10
of 203
pro vyhledávání: '"Boos, H."'
Flat connection on four-dimensional lattice, related matrix difference equations and their solutions
Autor:
Boos, H., Isaev, A. P.
In the paper [H.Boos, A.Hutsalyuk and Kh.Nirov, J.Phys.A:Math.Theor. 51 (2018) 445202] the reduced density matrix of the sl(3)-invariant fundamental exchange model was calculated for the operator length up to three by means of the reduced quantum Kni
Externí odkaz:
http://arxiv.org/abs/2212.14645
Publikováno v:
Journal of Mathematical Physics 58, 093504 (2017)
We find the $\ell$-weights and the $\ell$-weight vectors for the highest $\ell$-weight $q$-oscillator representations of the positive Borel subalgebra of the quantum loop algebra $U_q(\mathcal L(\mathfrak{sl}_{l+1}))$ for arbitrary values of $l$. Hav
Externí odkaz:
http://arxiv.org/abs/1701.02627
Autor:
Boos, H., Smirnov, F.
We explain how to incorporate the action of local integrals of motion into the fermionic basis for the sine-Gordon model and its UV CFT. The examples up to the level 4 are presented. Numerical computation support the results. Possible applications ar
Externí odkaz:
http://arxiv.org/abs/1610.09537
Publikováno v:
J. Math. Phys. 57 (2016) 111702 (23pp)
For the case of quantum loop algebras $\mathrm U_q(\mathcal L(\mathfrak{sl}_{l + 1}))$ with $l = 1, 2$ we find the $\ell$-weights and the corresponding $\ell$-weight vectors for the representations obtained via Jimbo's homomorphism, known also as eva
Externí odkaz:
http://arxiv.org/abs/1512.04446
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014), 275201 (47pp)
A detailed construction of the universal integrability objects related to the integrable systems associated with the quantum group $\mathrm U_q(\mathcal L(\mathfrak{sl}_3))$ is given. The full proof of the functional relations in the form independent
Externí odkaz:
http://arxiv.org/abs/1312.2484
Publikováno v:
Theor.Math.Phys. 174:25-45,2013
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 $U_q(\mathcal L(\mathfrak{sl}_2))$. We give a complete set of the functional relations correcti
Externí odkaz:
http://arxiv.org/abs/1205.4399
Publikováno v:
Rev. Math. Phys. 26 (2014), 1430005 (66pp)
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 example, we reconsider the case of the quantum group $U_q(\mathcal L(
Externí odkaz:
http://arxiv.org/abs/1205.1631
Publikováno v:
J.Phys.A44:355202,2011
We continue our exercises with the universal $R$-matrix based on the Khoroshkin and Tolstoy formula. Here we present our results for the case of the twisted affine Kac--Moody Lie algebra of type $A^{(2)}_2$. Our interest in this case is inspired by t
Externí odkaz:
http://arxiv.org/abs/1104.5696
Publikováno v:
Commun.Math.Phys.299:825-866,2010
The Grassmann structure of the critical XXZ spin chain is studied in the limit to conformal field theory. A new description of Virasoro Verma modules is proposed in terms of Zamolodchikov's integrals of motion and two families of fermionic creation o
Externí odkaz:
http://arxiv.org/abs/0911.3731
With the aid of the creation operators introduced in our previous works, we show how to construct a basis of the space of quasi-local operators for the homogeneous XXZ chain.
Externí odkaz:
http://arxiv.org/abs/0903.0115