General theory of quantum statistics with internal degrees of freedom in two dimensions.
The general theory of θ statistics with internal degrees of freedom is presented. The intrinsic parts of wave functions are expressed by means of the irreducible representations of the quantum group SU(2,q) with q=e −iθ . We show that the violation of P or T reflection symmetry is involved in two kinds of coproduct for constructing these representations

title: A COMPLETELY INTEGRABLE MODEL INDUCED FROM THE OFF-CONFORMALLY CONSTRAINED SL(2,R) WZNW THEORY
abstract: By means of imposing some conformally broken constraints on the phase space of the conformal WZNW model based on the simple Lie group SL(2, R ) , we find out an off-conformal system which may be regarded as a conformally broken extension of the sinh-Gordon model. It is shown that such a conformally broken system continues to preserve its integrability at both classical and quantum levels. The classical r ( λ / μ ) matrix and the quantum R ( λ / μ ) matrix are also obtained.

title: Emergence of spaces and the dynamic equations of FRW universes in the f(R) theory and deformed Hořava-Lifshitz theory
abstract: It has been shown that Friedmann equation of FRW universe can be derived from the idea which says cosmic space is emergent as cosmic time progresses and our universe is expanding towards the state with the holographic equipartition by Padmanabhan. In this note, we give a general relationship between the horizon entropy and the number of the degrees of freedom on the surface, which can be applied to quantum gravity. we also obtain the corresponding dynamic equations by using the idea of emergence of spaces in the f(R) theory and deformed Hořava-Lifshitz(HL) theory.

title: DRESSING SYMMETRY OF THE ZHIBER-MIKHAILOV-SHABAT MODEL
abstract: The dressing symmetry of the most typical example among the twist affine Toda field theories-the Zhiber-Mikhailov-Shabat model - is carefully analyzed. By factorizing the group of dressing transformations we find that there exists a non-trivial Poisson structure on the parameter space of the dressing group, which is built by the semi-classical deformation of the loop algebra A 2 (2) . As an auxiliary product we also obtain the classical r -matrix of the Zhiber-Mikhailov-Shabat model. Finally, we argue how one should quantize an integrable system with the symmetric group of dressing transformations.

title: Rigid open membrane and non-abelian non-commutative Chern-Simons theory
abstract: In the Berkooz-Douglas matrix model of M theory in the presence of longitudinal M5-brane, we investigate the effective dynamics of the system by considering the longitudinal M5-brane as the background and the spherical M5-brane related with the other space dimensions as the probe brane. Due to there exists the background field strength provided by the source of the longitudinal M5-brane, an open membrane should be ended on the spherical M5-brane based on the topological reason. The formation of the bound brane configuration for the open membrane ending on the 5branes in the background of longitudinal 5-brane can be used to model the 4-dimensional quantum Hall system proposed recently by Zhang and Hu. The description of the excitations of the quantum Hall soliton brane configuration is established by investigating the fluctuations of D0-branes living on the bound brane around their classical solution derived by the transformations of area preserving diffeomorphisms of the open membrane. We find that this effective field theory for the fluctuations is an SO(4) non-commutative Chern-Simons field theory. The matrix regularized version of this effective field theory is given in order to allow the finite D0-branes to live on the bound brane. We also discuss some possible applications of our results to the related topics in M-theory and to the 4-dimensional quantum Hall system.

title: Quasiparticle excitations and hierarchies of 4-dimensional quantum Hall fluid states in the matrix models
abstract: We investigate the condensate mechanism of the low-lying excitations in the matrix models of 4-dimensional quantum Hall fluids recently proposed by us. It is shown that there exist some hierarchies of 4-dimensional quantum Hall fluid states in the matrix models, and they are similar to the Haldane's hierarchy in the 2-dimensional quantum Hall fluids. However, these hierarchical fluid states appear consistently in our matrix models without any requirement of modifications of the matrix models.

title: Mott transition in an anyon gas.
abstract: We introduce and analyze a lattice model of anyons in a periodic potential and an external magnetic field, which exhibits a transition from a Mott insulator to a quantum Hall fluid. The transition is characterized by the anyon statistics [alpha], which can vary between fermions, [alpha]=0, and bosons, . Near the fermion limit, the transition is described by a massless 2+1 Dirac theory coupled to a Chern-Simons gauge field. Analytic calculations perturbative in [alpha], and also a large-[ital N] expansion, show that due to gauge fluctuations, the critical properties of the transition are dependent on the anyon statistics. Comparison with previous calculations at and near the boson limit, strongly suggest that our lattice model exhibits a fixed line of critical points, with universal critical properties that vary continuously and monotonically as one passes from fermions to bosons. Possible relevance to experiments on the transitions between plateaus in the fractional quantum Hall effect and the magnetic-field-tuned superconductor-insulator transition are briefly discussed.

title: Perturbative QCD predictions for the fragmentation functions of the P- wave mesons with two heavy quarks.
abstract: The fragmentation functions for the heavy mesons of [ital S] and [ital P] waves are calculated in the framework of perturbative QCD and the nonrelativistic quark model. The results are manifestly process independent. As applications, the production ratios for [ital P]-wave [ital [bar b]c] mesons to the [ital b[bar b]] production at high energy colliders are predicted. The spin dependence of the fragmentation functions for various states is discussed and the predicted results for the [ital D] ([ital D][sup *]) mesons are consistent with the recent experimental data.

title: Search for a vector glueball by a scan of the J/ psi resonance.
abstract: The cross section for {ital e}{sup +}{ital e}{sup {minus}}{r_arrow}{rho}{pi} has been measured by the BES detector at BEPC at center-of-mass energies covering a 40 MeV interval spanning the {ital J}/{psi} resonance. The data are used to search for the vector gluonium state hypothesized by Brodsky, Lepage, and Tuan as an explanation of the {rho}{pi} puzzle in charmonium physics. The shape of the {rho}{pi} cross section is compatible with that of the total hadronic cross section. No distortions indicating the presence of a vector glueball are seen.

title: Top quark search with the D0 1992-1993 data sample.
abstract: We present results on the search for the top quark in {ital p{bar p}} collisions at {radical}{ital s} =1.8 TeV with an integrated luminosity of 13.5{plus_minus}1.6 pb{sup {minus}1}. We have considered {ital t{bar t}} production in the standard model using electron and muon dilepton decay channels ({ital t{bar t}}{r_arrow}{ital e}{mu}+jets, {ital ee}+jets, and {mu}{mu}+jets) and single-lepton decay channels ({ital t{bar t}}{r_arrow}{ital e}+jets and {mu}+jets) with and without tagging of {ital b} quark jets. An analysis of these data optimized for top quark masses below 140 GeV/{ital c}{sup 2} gives a lower top quark mass limit of 128 GeV/{ital c}{sup 2}. An analysis optimized for higher top quark masses yields 9 events with an expected background of 3.8{plus_minus}0.9. If we assume that the excess is due to {ital t{bar t}} production, and assuming a top quark mass of 180 GeV/{ital c}{sup 2}, we obtain a cross section of 8.2{plus_minus}5.1 pb.

title: Driving operators relevant: A feature of the Chern-Simons interaction.
abstract: By computing anomalous dimensions of gauge invariant composite operators ([bar [psi]][psi])[sup [ital n]] and (][phi])[sup [ital n]] in matter--Chern-Simons models, we address the fact that the Chern-Simons interactions make these operators more relevant, or less irrelevant, in the low energy region. We suggest a critical Chern-Simons fermion coupling, 1/[kappa][sub [ital c]][sup 2]=6/19, for a phase transition at which the leading irrelevant operator ([bar [psi]][psi])[sup 2] becomes marginal, and a critical Chern-Simons boson coupling, 1/[kappa][sub [ital c]][sup 2]=6/34, for a similar phase transition for the leading irrelevant operator (]. We see the phenomenon also in the 1/[ital N] expansion.