Working in the F-basis provided by the factorizing F-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing F -matrices (or the so-called F -basis) play an important role in the construction. In the F -basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely ...

Working in the F-basis provided by the factorizing F-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain the determinant representations of the correlation functions of the model.

A bstract We generate a class of string backgrounds by sequence TsT transformations the NS1-NS5 system that we argue are holographically dual to states in single-trace $$ T\overline{T} T ¯ + J\overline{T} J T\overline{J} -deformed CFT 2 . The new incl...

In this paper, we establish the existence of nonoscillatory solutions to neutral dynamic equations with positive and negative coefficients on time scales form (x(t) ? ?ba p(t, ?)x(1(t, ?))??)? + ?li =1 ri(t)x(?i(t)) ?m j=1 sj(t)x(?j(t)) = 0. Two examples are included illustrate our presented results. approaches, a key role is played by fixed point technique.