مشخصات پژوهش

By calculating inequivalent classical r-matrices for the gl(2,R) Lie algebra as solutions of (modified) classical Yang-Baxter equation ((m)CYBE), we classify the YB deformations ofWess-Zumino-Witten (WZW) model on the GL(2,R) Lie group in twelve inequivalent families. Most importantly, it is shown that each of these models can be obtained from a Poisson-Lie T-dual σ-model in the presence of the spectator fields when the dual Lie group is considered to be Abelian, i.e. all deformed models have Poisson-Lie symmetry just as undeformedWZWmodel on theGL(2,R). In this way, all deformed models are specified via spectatordependent background matrices. For one case, the dual background is clearly found.