Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

Integrable Kondo impurities in two cases of the one-dimensional $t-J$ model are studied by means of the boundary ${\bf Z}_2$-graded quantum inverse scattering method. The boundary $K$ matrices depending on the local magnetic moments of the impurities are presented as nontrivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, these models are solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.Comment: 14 pages, RevTe

[Colored solutions of Yang-Baxter equation from representations of U_{q}gl(2)]

We study the Hopf algebra structure and the highest weight representation of a multiparameter version of $U_{q}gl(2)$. The commutation relations as well as other Hopf algebra maps are explicitly given. We show that the multiparameter universal ${\cal R}$ matrix can be constructed directly as a quantum double intertwiner, without using Reshetikhin's transformation. An interesting feature automatically appears in the representation theory: it can be divided into two types, one for generic $q$, the other for $q$ being a root of unity. When applying the representation theory to the multiparameter universal ${\cal R}$ matrix, the so called standard and nonstandard colored solutions $R(\mu,\nu; {\mu}', {\nu}')$ of the Yang-Baxter equation is obtained.Comment: [14]pages, latex, no figure

Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant

We compute the dimensionality dependence of $\eta/s$ for charged black branes with Gauss-Bonnet correction. We find that both causality and stability constrain the value of Gauss-Bonnet coupling constant to be bounded by 1/4 in the infinite dimensionality limit. We further show that higher dimensionality stabilize the gravitational perturbation. The stabilization of the perturbation in higher dimensional space-time is a straightforward consequence of the Gauss-Bonnet coupling constant bound.Comment: 16 pages,3 figures+3 tables,typos corrected, published versio

Acoustic black holes from supercurrent tunneling

We present a version of acoustic black holes by using the principle of the Josephson effect. We find that in the case two superconductors $A$ and $B$ are separated by an insulating barrier, an acoustic black hole may be created in the middle region between the two superconductors. We discuss in detail how to describe an acoustic black hole in the Josephson junction and write the metric in the langauge of the superconducting electronics. Our final results infer that for big enough tunneling current and thickness of the junction, experimental verification of the Hawking temperature could be possible.Comment: 15pages,1 figure, to appear in IJMP

Characterization of novel developed expressed sequence tag (EST)-derived simple sequence repeat (SSR) markers and their application in diversity analysis of eggplant

A total of 101,270 eggplant expressed sequence tag (EST) sequences at public databases were used to search for simple sequence repeats (SSRs) and 405 potential SSR loci were identified from 388 sequences. The highest proportion (34.07%, 138) was represented by trinucleotide, followed by dinucleotide (19.51%, 79) and hexanucleotide (15.8%, 64). Among the dinucleotide repeats, AG/CT was the most common (55.69%), followed by AT/AT (31.64%) and AC/GT (12.66%). Further, 288 pairs of primers were developed from these sequences. A random set of 100 EST-SSR primers were amplified in 12 eggplant accessions and 88 successfully amplified expect PCR products. 32 markers revealed 83 polymorphic alleles among the 42 cultivated accessions and the number of allelles per locus varied between 2 and 6 (mean 2.6). Polymorphism information content (PIC) values among the 42 cultivated types were calculated and varied from 0.045 to 0.701 (mean 0.289). The markers showed low frequency transferability in Solanaceae. The 32 SSRs were used to evaluate genetic diversity. These SSRs will be valuable markers for future genetic study, such as genetic diversity estimation, linkage mapping, association mapping and molecular breeding.Key words: Expressed sequence tags, transferability, diversity, dendrogram