Hopf Algebra Symmetries of an Integrable Hamiltonian for Anyonic Pairing

Axioms

关键词: Hopf algebra;    Drinfel’d double construction;    quantum integrability;    Yang–Baxter equation;   

DOI  :  10.3390/axioms1020226

来源: mdpi

【 摘 要 】

Since the advent of Drinfel’d’s double construction, Hopf algebraic structures have been a centrepiece for many developments in the theory and analysis of integrable quantum systems. An integrable anyonic pairing Hamiltonian will be shown to admit Hopf algebra symmetries for particular values of its coupling parameters. While the integrable structure of the model relates to the well-known six-vertex solution of the Yang–Baxter equation, the Hopf algebra symmetries are not in terms of the quantum algebra U_q(sl(2)). Rather, they are associated with the Drinfel’d doubles of dihedral group algebras D(D_n).

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.