A Q-operator for open spin chains I. Baxter’s TQ relation
نویسندگان
چکیده
منابع مشابه
Baxter’s Q-operators for supersymmetric spin chains
We develop Yang-Baxter integrability structures connected with the quantum affine superalgebra Uq(ŝl(2|1)). Baxter’s Q-operators are explicitly constructed as supertraces of certain monodromy matrices associated with (q-deformed) bosonic and fermionic oscillator algebras. There are six different Q-operators in this case, obeying a few fundamental fusion relations, which imply all functional rel...
متن کاملQ-operator and T −Q relation from the fusion hierarchy
We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j → ∞ limit of the transfer matrix with spin-j (i.e., (2j+1)-dimensional) auxiliary space. Applying this observation to the open chain with general (nondiagonal) integrable boundary terms, we obtain from the fusion hierarchy the T -Q relation for generic values (i.e. not roots of unity) of the bulk ani...
متن کاملOn the Baxter's Q -operator for the Xxx Spin Chain
We discuss the construction of Baxter's Q-operator. The suggested approach leads to the one-parametric family of Q-operators, satisfying to the wronslian-type relations. Also we have found the generalization of Baxter operators, with defines the nondiagonal part of the monodromy.
متن کاملquantum-algebra-invariant open spin chains
We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras A (2) 2n−1, B (1) n ,C (1) n , D (1) n , and which have the quantum-algebra invariance Uq(Cn), Uq(Bn), Uq(Cn), Uq(Dn), respectively. Physics Department, Bonn University, Nussallee 12, D-53115 Bonn, Germany Permanent address: Physics Department, Universi...
متن کاملOpen spin chains and quadratic algebras
Algebraic framework for construction of a commuting set of operators that can be interpreted as integrals of motion of the open spin chain with boundary conditions and nearest neighbour interaction is investigated. PACS numbers: 02.10.Tq ∗Postal address: Břehová 7, 115 19 Prague 1, Czech Republic. E-mail: [email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2020
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab8854