منابع مشابه
q-AFFINE-YANGIAN DOUBLE CORRESPONDENCE AND FREE BOSON REPRESENTATION OF YANGIAN DOUBLE WITH ARBITRARY LEVEL
We derive a free boson representation of the Yangian double DY~(slN ) with arbitrary level k using the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents are not obtained in the same way. Date: January 1997. 0 FREE BOSON REPRESENTATION OF YANGIAN DOUBLE 1
متن کاملSuper Yangian Double and its Central Extension
We introduce super Yangian double DYh̄[gl(m|n)] and its central extension ̂ DYh̄[gl(m|n)]. We give their defining relations in terms of current generators and obtain Drinfeld comultiplication. Queen Elizabeth II Fellow; Email: [email protected] This paper concerns with Drinfeld current realization [1] of super Yangian double DYh̄[gl(m|n)] and its central extension ̂ DYh̄[gl(m|n)]. The Yangian doubl...
متن کاملStructures of q-Deformed Currents
The non-perturbation and perturbation structures of the q-deformed probability currents are studied. According to two ways of realizing the q-deformed Heisenberg algebra by the undeformed operators, the perturbation structures of two q-deformed probability currents are explored in detail. Locally the structures of two perturbation q-deformed probability currents are different, one is explicitly...
متن کاملTraces of Intertwining Operators for the Yangian Double
The traces over infinite dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For the special combinations of the intertwining operators the traces are identified with form factors of local operators in SU(2)-invariant Thirring model. This identification is based on the identities which are deforme...
متن کاملYangian, Truncated Yangian and Quantum Integrable Models
Based on the RTT relation for the given rational R-matrix the Yangian and truncated Yangian are discussed. The former can be used to generate the longrange interaction models, whereas the latter can be related to the GoryachevChaplygin(GC) gyrostat. The trigonometric extension of the Goryachev-Chaplygin gyrostat has also been shown.
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: Reviews in Mathematical Physics
سال: 2000
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x00000290