According to the conjecture based on some known facts of integrable models, a new （2＋1）-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known （2＋1）-d...According to the conjecture based on some known facts of integrable models, a new （2＋1）-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known （2＋1）-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known （1＋1）-dimensional supersymmetric Boussinesq equation. The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.展开更多
We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theo...We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).展开更多
New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix h...New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix has 7 free boundary parameters,which are used to describe the degree of freedom of boundary couplings,without breaking the integrability of the system.The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states.The corresponding boundary effects can be studied based on the results in this paper.Meanwhile,the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 10735030)the Scientific Research Fund of Zhejiang Provincial Education Department (Grant No. 20040969)+1 种基金the National Basic Research Programs of China (Grant Nos. 2007CB814800 and 2005CB422301)the PCSIRT (IRT0734)
文摘According to the conjecture based on some known facts of integrable models, a new （2＋1）-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known （2＋1）-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known （1＋1）-dimensional supersymmetric Boussinesq equation. The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.
文摘We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).
基金Supported by the National Program for Basic Research of MOST(Grant Nos.2016YFA0300600 and 2016YFA0302104)the National Natural Science Foundation of China(Grant Nos.11934015,11975183,11547045,11774397,11775178,11775177 and 91536115)+2 种基金Australian Research Council(Grant No.DP 190101529)the Major Basic Research Program of Natural Science of Shaanxi Province(Grant Nos.2017KCT-12,2017ZDJC-32)the Double First-Class University Construction Project of Northwest University.
文摘New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix has 7 free boundary parameters,which are used to describe the degree of freedom of boundary couplings,without breaking the integrability of the system.The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states.The corresponding boundary effects can be studied based on the results in this paper.Meanwhile,the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper.
