Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex SOS model, we derive the recursion relations of the partition function for the eight-vertex model with a generic non-diagonal reflecting end and domain wall boundary condition. Solving the recursion relations, we obtain the explicit determinant expression of the partition function. Our result shows that, contrary to the eight-vertex model without a reflecting end, the partition function can be expressed as a single determinant.

title: Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models
abstract: We construct the Drinfeld twists (factorizing F-matrices) of the gl(m|n)-invariant fermion model. Completely symmetric representation of the pseudo-particle creation operators of the model are obtained in the basis provided by the F-matrix (the F-basis). We resolve the hierarchy of the nested Bethe vectors in the F-basis for the gl(m|n) supersymmetric model.

title: Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
abstract: The anisotropic spin-1/2 chains with arbitrary boundary fields are diagonalized with the off-diagonal Bethe ansatz method. Based on the properties of the R-matrix and the K-matrices, an operator product identity of the transfer matrix is constructed at some special points of the spectral parameter. Combining with the asymptotic behavior (for XXZ case) or the quasi-periodicity properties (for XYZ case) of the transfer matrix, the extended T-Q ansatzes and the corresponding Bethe ansatz equations are derived.

title: THE DRESSING TRANSFORMATION OF THE CONFORMAL AFFINE TODA
abstract: We study the dressing transformations of the conformal affine Todal which can be obtained from a Hamiltonian reduction. As a special case, we obtain the dressing transformations of the sinh-Gordon model. We will show that the dressing group is the semiclassical limit of the quantum group . We will also obtain the algebra of the charges which generate the infinitesimal dressing transformations.

title: Primary fields and screening currents of gl(2|2) non-unitary conformal field theory
abstract: The non-semisimple gl(2)k current superalgebra in the standard basis and the corresponding non-unitary conformal field theory are investigated. Infinite families of primary fields corresponding to all finite-dimensional irreducible typical and atypical representations of gl(212) and three (two even and one odd) screening currents of the first kind are constructed explicitly in terms of ten free fields.

title: Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
abstract: A bstractThe Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the offdiagonal Bethe ansatz method. Based on some intrinsic properties of the R-matrix and the K-matrices, certain operator product identities of the transfer matrix are obtained at some special points of the spectral parameter. These identities and the asymptotic behaviors of the transfer matrix together allow us to construct the inhomogeneous T − Q relation and the associated Bethe ansatz equations. In the diagonal boundary limit, the reduced results coincide exactly with those obtained via other methods.

title: Parabose Squeezed Operator and Its Applications
abstract: By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit form of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum atate are calculated in this letter, which generalize the relevant results from ordinary Bose statistics to parabose case.

title: Baryogenesis and asymmetric dark matter from the left–right mirror symmetric model
abstract: The paper suggests a left–right mirror symmetric model to account for the baryogenesis and asymmetric dark matter. The model can simultaneously accommodate the standard model, neutrino physics, matter–antimatter asymmetry and dark matter. In particular, it naturally and elegantly explains the origin of the baryon and dark matter asymmetries, and clearly gives the close interrelations of them. In addition, the model predicts a number of interesting results, e.g. that the cold dark matter neutrino mass is 3.1 times the proton mass. It is also feasible and promising to test the model in future experiments.

title: Decay constants of the pseudoscalar charmonium and bottomonium
abstract: In this Letter, we investigate the structures of the pseudoscalar charmonium and bottomonium in the framework of the coupled rainbow Schwinger–Dyson equation and ladder Bethe–Salpeter equation with the confining effective potential (infrared modified flat bottom potential). As the current masses are very large, the dressing or renormalization for the c and b quarks are tender, however, mass poles in the timelike region are absent. The Euclidean time Fourier transformed quark propagator has no mass poles in the timelike region which naturally implements confinement. The Bethe–Salpeter wavefunctions for those mesons have the same type (Gaussian type) momentum dependence and center around zero momentum with spatial extension to about q 2 = 1 GeV 2 which happen to be the energy scale for chiral symmetry breaking, the strong interactions in the infrared region result in bound states. The decay constants for those pseudoscalar heavy quarkonia are compatible with the values of experimental extractions and theoretical calculations.

title: An Unification Model of Fermion Flavor and Baryon asymmetry and Dark Matter with The TeV Scale $U(1)_{B-L}$
abstract: This paper has been withdrawn by the author. I suggest a new particle model to solve simultaneously the problems of fermion masses and flavor mixings, and baryon asymmetry and dark matter. The model extends the standard model by adding a local $U(1)_{B-L}$ gauge symmetry at the TeV scale, in addition, the fermion flavor structures are characterized by the original $S_{3}$ and residual $S_{2R}$ flavor family symmetries. The model can excellently fit all the current experimental data by the fewer parameters. The new results and predictions are promising to be test in future experiments.

title: The Matter-Antimatter Asymmetry and Cold Dark Matter from The Left-Right Mirror Symmetric Model with The Global $U(1)_{B-L}\otimes U(1)_{D}$
abstract: The paper suggests a left-right mirror symmetric model with the global U(1)B−L ⊗ U(1)D symmetries. The model can simultaneously accommodate the standard model, neutrino physics, matter-antimatter asymmetry and cold dark mat- ter. The model naturally and elegantly accounts for the origin of the tiny neutrino mass, matter-antimatter asymmetry and cold dark matter. In particular, it pre- dicts a number of interesting results, e.g. a right-handed neutrino asymmetry and a dark Goldstone boson. It is also feasible and promising to test the model in future experiments.