A note on the Bethe ansatz solution of the supersymmetric t-J model

The three different sets of Bethe ansatz equations describing the Bethe ansatz solution of the supersymmetric t-J model are known to be equivalent. Here we give a new, simplified proof of this fact which relies on the properties of certain polynomials. We also show that the corresponding transfer matrix eigenvalues agree.Comment: 6 pages, Latex, contributed to the 12th Int. Colloquium on Quantum Groups and Integrable Systems, Prague, 200

Integral representation of the density matrix of the XXZ chain at finite temperatures

We present an integral formula for the density matrix of a finite segment of the infinitely long spin-1/2 XXZ chain. This formula is valid for any temperature and any longitudinal magnetic field.Comment: 12 pages, Late

The staggered six-vertex model: Conformal invariance and corrections to scaling

We study the emergence of non-compact degrees of freedom in the low energy effective theory for a class of Z2Z2-staggered six-vertex models. In the finite size spectrum of the vertex model this shows up through the appearance of a continuum of critical exponents. To analyze this part of the spectrum we derive a set of coupled nonlinear integral equations from the Bethe ansatz solution of the vertex model which allow to compute the energies of the system for a range of anisotropies and of the staggering parameter. The critical theory is found to be independent of the staggering. Its spectrum and density of states coincide with the SL(2,R)/U(1)SL(2,R)/U(1) Euclidean black hole conformal field theory which has been identified previously in the continuum limit of the vertex model for a particular ‘self-dual’ choice of the staggering. We also study the asymptotic behavior of subleading corrections to the finite size scaling and discuss our findings in the context of the conformal field theory.DF

Analyzing the Emotional Bondage of Serial Fans and Business Decisions on Series Extension in the Context of Impact on the Stock Price of the Providers

The desire of audiences to consume content in a series format, independent of time and place has increased in recent years. Technological advancement has helped this trend progress. In this paper, series are considered as goods whose sales are linked to the degree of viewers’ attention. Thus, the good series operate on two interconnected levels, an economic and an emotional. The decision to invest in the production of another season of a series is intended to increase the number of subscriptions and the associated revenues. Capital market participants are influenced by various emotional biases when making investment decisions under uncertainty. In the context of an event study, it is examined whether announcements of season extensions have a significant influence on the share price of the respective provider. The results show that investors react with a changed investment behavior. Furthermore, findings from the film industry are transferred to series production

Emptiness formation probability at finite temperature for the isotropic Heisenberg chain

We present an integral formula for a special correlation function of the isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function describes the probability for the occurrence of a string of consecutive up-spins as a function of temperature, magnetic field and length of the string.Comment: 3 pages, 1 figure, submitted to SCES'0

Investigation of masking concepts for influencing the austenitization process during press hardening

One possibility to adjust tailored properties in hot stamping is the application of a masking concept to prevent a complete austenitization. In this study different concepts were investigated in order to use them as a suitable masking. A simulation model of the heating phase was developed for the purpose of predicting the resulting microstructure and hardness. Experimentally determined temperature profiles were used for the numerical model. The numerical results of the temperature profile and hardness were validated by experimental investigations and non-destructive hardness measurements. The simulated hardness is in adequate agreement with the measured hardness