8,177 research outputs found

    Hamiltonian Reduction and Supersymmetric Toda Models

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    New formulations of the solutions of N=1 and N=2 super Toda field theory are introduced, using Hamiltonian Reduction of the N=1 and N=2 super WZNW Models to the super Toda Models. These parameterisations are then used to present the Hamiltonian formulations of the super Toda theories on the spaces of solutions.Comment: 15pp., LaTe

    Covariant Phase Space Formulations of Superparticles and Supersymmetric WZW Models

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    We present new covariant phase space formulations of superparticles moving on a group manifold, deriving the fundamental Poisson brackets and current algebras. We show how these formulations naturally generalise to the supersymmetric Wess-Zumino-Witten models.Comment: 15pp., LaTe

    Some Recent Results on Pair Correlation Functions and Susceptibilities in Exactly Solvable Models

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    Using detailed exact results on pair-correlation functions of Z-invariant Ising models, we can write and run algorithms of polynomial complexity to obtain wavevector-dependent susceptibilities for a variety of Ising systems. Reviewing recent work we compare various periodic and quasiperiodic models, where the couplings and/or the lattice may be aperiodic, and where the Ising couplings may be either ferromagnetic, or antiferromagnetic, or of mixed sign. We present some of our results on the square-lattice fully-frustrated Ising model. Finally, we make a few remarks on our recent works on the pentagrid Ising model and on overlapping unit cells in three dimensions and how these works can be utilized once more detailed results for pair correlations in, e.g., the eight-vertex model or the chiral Potts model or even three-dimensional Yang-Baxter integrable models become available.Comment: LaTeX2e using iopart.cls, 10 pages, 5 figures (5 eps files), Dunk Island conference in honor of 60th birthday of A.J. Guttman

    Critical densities for the Skyrme type effective interactions

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    We use the stability conditions of the Landau parameters for the symmetric nuclear matter and pure neutron matter to calculate the critical densities for the Skyrme type effective nucleon-nucleon interactions. We find that the critical density can be maximized by adjusting appropriately the values of the enhancement factor κ\kappa associated with isovector giant dipole resonance, the quantity LL which is directly related to the slope of the symmetry energy and the Landau parameter G0G_0^\prime. However, restricting κ\kappa, LL and G0G_0^\prime to vary within acceptable limits reduces the maximum value for the critical density ρ~cr\tilde\rho_{cr} by 25\sim 25%. We also show that among the various quantities characterizing the symmetric nuclear matter, ρ~cr\tilde\rho_{cr} depends strongly on the isoscalar effective mass m/mm^*/m and surface energy coefficient EsE_s. For realistic values of m/mm^*/m and EsE_s we get ρ~cr=2ρ0\tilde\rho_{cr} = 2\rho_0 to 3ρ0 3\rho_0 (ρ0=0.16\rho_0 = 0.16fm3^{-3}).Comment: 10 pages, 3 figures. Physicsl Review C (in press

    Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer Matrices

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    It has been shown in earlier works that for Q=0 and L a multiple of N, the ground state sector eigenspace of the superintegrable tau_2(t_q) model is highly degenerate and is generated by a quantum loop algebra L(sl_2). Furthermore, this loop algebra can be decomposed into r=(N-1)L/N simple sl_2 algebras. For Q not equal 0, we shall show here that the corresponding eigenspace of tau_2(t_q) is still highly degenerate, but splits into two spaces, each containing 2^{r-1} independent eigenvectors. The generators for the sl_2 subalgebras, and also for the quantum loop subalgebra, are given generalizing those in the Q=0 case. However, the Serre relations for the generators of the loop subalgebra are only proven for some states, tested on small systems and conjectured otherwise. Assuming their validity we construct the eigenvectors of the Q not equal 0 ground state sectors for the transfer matrix of the superintegrable chiral Potts model.Comment: LaTeX 2E document, using iopart.cls with iopams packages. 28 pages, uses eufb10 and eurm10 fonts. Typeset twice! Version 2: Details added, improvements and minor corrections made, erratum to paper 2 included. Version 3: Small paragraph added in introductio

    Systematic description and key to isolants from Atacama Desert, Chile

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    Isolation and identification of desert soil microorganism from Chil

    Information Content of Equity Analyst Reports

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    This paper investigates the market reaction to the information released in security analyst reports. It shows that the market reacts significantly and positively to changes in recommendation levels, earnings forecasts, and price targets. While changes in price targets and earnings forecasts both provide information to the market, revisions in price targets have a larger and more significant impact than comparable revisions in earnings forecasts. The text of the report is also a significant source of information as it provides the justifications supporting an analyst's summary opinion. When all of this information is considered simultaneously, some of it, notably the earnings forecasts, is subsumed. The results further show that analysts correctly predict price targets slightly over 50% of the time. Finally, the valuation methodology used does not seem to be correlated with either the market's reaction or the analyst's accuracy.

    Properties of the ground 3^3F2_2 state and the excited 3^3P0_0 state of atomic thorium in cold collisions with 3^3He

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    We measure inelastic collisional cross sections for the ground 3^3F2_2 state and the excited 3^3P0_0 state of atomic thorium in cold collisions with 3^3He. We determine for Th (3^3F2_2) at 800 mK the ratio γ500\gamma \approx 500 of the momentum-transfer to Zeeman relaxation cross sections for collisions with 3^3He. For Th (3^3P0_0), we study electronic inelastic processes and find no quenching even after 10610^6 collisions. We also determine the radiative lifetime of Th (3^3P0_0) to be τ>130\tau > 130 ms. This great stability of the metastable state opens up the possibility for further study, including trapping

    Correlation functions for the three state superintegrable chiral Potts spin chain of finite lengths

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    We compute the correlation functions of the three state superintegrable chiral Potts spin chain for chains of length 3,4,5. From these results we present conjectures for the form of the nearest neighbor correlation function.Comment: 10 pages; references update

    Vibrational quenching of the electronic ground state in ThO in cold collisions with 3^3He

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    We measure the ratio γ\gamma of the momentum-transfer to the vibrational quenching cross section for the X (1Σ+^1\Sigma^+), ν=1\nu=1, J=0\mathrm{J=0} state of molecular thorium monoxide (ThO) in collisions with atomic 3^3He between 800 mK and 2.4 K. We observe indirect evidence for ThO--He van der Waals' complex formation, which has been predicted by theory. We determine the 3-body recombination rate constant Γ3\Gamma_3 at 2.4 K, and establish that the binding energy Eb>_b > 4 K
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