Duality and quantum-algebra symmetry of the AN−1(1) open spin chain with diagonal boundary fields
نویسندگان
چکیده
منابع مشابه
Duality and quantum-algebra symmetry of the A (1) N−1 open spin chain with diagonal boundary fields
We show that the transfer matrix of the A (1) N−1 open spin chain with diagonal boundary fields has the symmetry Uq (SU(l)) × Uq (SU(N − l)) × U(1), as well as a “duality” symmetry which maps l ↔ N − l. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.
متن کاملIntegrability of Open Spin Chains with Quantum Algebra Symmetry
in the fundamental representation. Conspicuously absent from this list is A (1) n for n > 1. This is because in order to demonstrate integrability, we assume that the corresponding R matrix has crossing symmetry, which is not true in the case A (1) n for n > 1. Sklyanin has demonstrated that an integrable open spin chain can be constructed with an R matrix that satisfies nothing more than the Y...
متن کاملHeisenberg chain with quantum algebra symmetry
A quantum algebra invariant integrable closed spin 1 chain is introduced and analysed in detail. The Bethe ansatz equations as well as the energy eigenvalues of the model are obtained. The highest weight property of the Bethe vectors with respect to Uq(sl(2)) is proved. PACS Nos. 03.65.Fd 05.50+q 75.10.Jm Running Title Closed spin 1 XXZ chain e-mail [email protected] e-mail [email protected] ...
متن کاملOn quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
Motivated by a study of the crossing symmetry of the asymmetric twin or ‘gemini’ representation of the affine Hecke algebra we give a construction for crossing tensor space representations of ordinary Hecke algebras. These representations build solutions to the Yang– Baxter equation satisfying the crossing condition (that is, integrable quantum spin chains). We show that every crossing represen...
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 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: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00567-7