Classical Yang-Baxter equation from β-supergravity
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DOI: 10.1007/jhep01(2019)140
Abstract: A bstractYang-Baxter deformations of superstring σ-models have recently inspired a supergravity solution generating technique. Using the open/closed string map and a Killing bi-vector as a deformation parameter, new solutions can be built, such that the… read more here.
Keywords: supergravity; baxter equation; classical yang; yang baxter ... See more keywords
Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
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DOI: 10.1007/jhep09(2017)035
Abstract: A bstractIntegrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime,… read more here.
Keywords: sigma lambda; baxter; lambda models; yang baxter ... See more keywords
Fusion Formulas and Fusion Procedure for the Yang-Baxter Equation
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DOI: 10.1007/s10468-017-9692-1
Abstract: We use the fusion formulas of the symmetric group and of the Hecke algebra to construct solutions of the Yang–Baxter equation on irreducible representations of ????????N$\mathfrak {gl}_{N}$, ????????N|M$\mathfrak {gl}_{N|M}$, Uq(????????N)$U_{q}(\mathfrak {gl}_{N})$ and Uq(????????N|M)$U_{q}(\mathfrak {gl}_{N|M})$. The… read more here.
Keywords: fusion formulas; baxter equation; fusion procedure; yang baxter ... See more keywords
Conformal classical Yang–Baxter equation, S-equation and $${\mathcal {O}}$$-operators
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DOI: 10.1007/s11005-019-01243-2
Abstract: Conformal classical Yang–Baxter equation and S-equation naturally appear in the study of Lie conformal bialgebras and left-symmetric conformal bialgebras. In this paper, they are interpreted in terms of a kind of operators, namely $$\mathcal O$$-operators… read more here.
Keywords: baxter equation; conformal classical; classical yang; baxter ... See more keywords
Dynamics of the quantum coherence under the concatenation of Yang–Baxter matrix
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DOI: 10.1007/s11128-021-03399-0
Abstract: The non-increasing behavior of quantum coherence during any incoherent quantum process such as an incoherent quantum channel occurring in a noisy environment is a general property of quantum coherence. We address that the concatenation of… read more here.
Keywords: quantum coherence; yang baxter; coherence; concatenation ... See more keywords
A fourth-order method for computing the sign function of a matrix with application in the Yang–Baxter-like matrix equation
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0816-6
Abstract: In this study, first we derive a novel iteration scheme for the sign of a matrix with no pure imaginary eigenvalues. The fourth-order convergence speed of this scheme is given in detail. Secondly, we extend… read more here.
Keywords: fourth order; sign; equation; yang baxter ... See more keywords
On commuting solutions of the Yang–Baxter-like matrix equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.030
Abstract: Abstract Let A be an arbitrary square matrix and its Jordan canonical form is P − 1 A P = J = diag ( J 1 ( λ 1 ) , ⋯ , J q… read more here.
Keywords: baxter like; solutions yang; matrix equation; yang baxter ... See more keywords
The matched product of set-theoretical solutions of the Yang-Baxter equation
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DOI: 10.1016/j.jpaa.2019.07.012
Abstract: Abstract In this work, we develop a novel construction technique for set-theoretical solutions of the Yang-Baxter equation. Our technique, named the matched product, is an innovative tool to construct new classes of involutive solutions as… read more here.
Keywords: product; solutions yang; yang baxter; set theoretical ... See more keywords
On the Yang–Baxter Poisson algebra in non-ultralocal integrable systems
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DOI: 10.1016/j.nuclphysb.2018.07.016
Abstract: Abstract A common approach to the quantization of integrable models starts with the formal substitution of the Yang–Baxter Poisson algebra with its quantum version. However it is difficult to discern the presence of such an… read more here.
Keywords: algebra; non ultralocal; yang baxter; poisson algebra ... See more keywords
On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
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DOI: 10.1080/00927872.2019.1710163
Abstract: Abstract We develop a method to construct all the indecomposable involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with a prime-power number of elements and cyclic permutation group. Moreover, we give a complete classification of… read more here.
Keywords: solutions yang; baxter equation; theoretic solutions; indecomposable involutive ... See more keywords
Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p2q
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DOI: 10.1080/00927872.2023.2200827
Abstract: In this paper we study the problem of classification of indecomposable solutions of the Yang-Baxter equation. Using a scheme proposed by Bachiller, Ced\'o, and Jespers, and recent advances in the classification of braces we classify… read more here.
Keywords: solutions yang; indecomposable solutions; baxter equation; permutation ... See more keywords