Since we have a complete classification of certain classes of conformal field theories, we should be able to catalog the models of statistical mechanics at criticality according to known representations of conformal field theories.doi:10.1007/978-1-4612-0503-6_6Michio KakuSpringer New York...
A Yang-Baxter relation-based formalism for generalized quantum affine algebras with the structure of an infinite Hopf family of (super-) algebras is proposed. The structure of the infinite Hopf family is given explicitly on the level of $L$ matrices. The relation with the Drinfeld current ...
During this process, we have found a number of novel algebraic solutions to the braid relation, also known as the constant Yang-Baxter equation, that may be compared to the Jones representation. We derive our solutions from Clifford algebras and partition algebras, which are generalizations of ...
In this work we establish a relation between the six-vertex model with domain wall boundaries and the $XXZ$ spin chain with non-diagonal twisted boundary condition. In particular, we demonstrate a formal relation between the zeroes of the partition function of the six-vertex model with Domain...
Both allow one to find solutions of the respective Yang–Baxter equation by solving a linear intertwining relation. In the case without spectral parameters these algebras appear in the theory of braided groups (see Hopf Algebras and q-Deformation Quantum Groups and Braided and Modular Tensor ...
It is an open problem to study the relation between that structure and TR⊕UR (V ⊕ V ) (see Remark 2.4). Remark 3.3 In a natural way, ( T (V ), µ, 1k ) gets a bialgebra structure (if R is invertible). The map, ∆(v) = v ⊗ 1k + 1k ⊗ v ∀v ∈ V , ...
Firstly, by the definition of the dressed R-operator Rg in (3.5), one can derive the relation,(A.2)δ(Rg∘P)(X)=(Rg∘P)(δX)+[(Rg∘P)(X),ϵ]−Rg([P(X),ϵ]), where X is an arbitrary field and P is the coset projector defined in (3.3). Secondary, using this...
Firstly, let us introduce the braid matrix20 for ω = e i 2π 3 : B= which satisfies the braid relation i 3 ωω1000000 0 ω 0 ω2 0 0 0 0 ω2 0 0 ω 0 1 0 ω 0 0 0 ω2 0 ω 0 0 0 0 ω2 0 0 ω 0 ω ...
We present an exact theory of anO(4)-σ-model based on its relation to a certain fermionic model. TheS-matrix and the vacuum energy in a constant external field are computed. A Polyakov,PB Wiegmann - Bosonization 被引量: 562发表: 0年 加载更多来源...
Furthermore, in comparison to curved spaces like AdS spaces, one can readily see the relation between Yang-Baxter deformations and duality transformations like T-duality and S-duality. Further it would be helpful to study non-perturbative aspects of string theory and new ideas such as non-...