We prove an $${{\mathbb {F}}}_p$$ -Selberg integral formula, in which the is element of finite field with odd prime number p elements. The formula motivated by analogy between multidimensional hypergeometric solutions KZ equations and polynomial same reduced modulo p.

Ketoconazole (KZ) is a broad-spectrum drug used to treat fungal infections. Local use of ketoconazole has been associated with some side effects in healthy adults, especially local reactions, such as stinging, severe irritation, and itching. Moreover, the bioavailability KZ after oral administration low tablets due its water solubility. In addition, produces systemic exposure, significant effec...

We analyze the spectral problem for the q-Knizhnik-Zamolodchikov equations for Uq(ŝl2)(0 < q ≤ 1) at level zero. The case of 2-point functions in the fundamental representation is studied in detail. The scattering states are found explicitly in terms of continuous q-Jacobi polynomials. The corresponding S-matrix is shown to coincide, up to a trivial factor, with the kink-antikink S-matrix in th...

Universal dynamics of spontaneous symmetry breaking is central to understanding the universal behavior of spontaneous defect formation in various system from the early universe, condensed-matter systems to ultracold atomic systems. We explore the universal real-time dynamics in an array of coupled binary atomic Bose-Einstein condensates in optical lattices, which undergo a spontaneous symmetry ...

We present a quantum version of the construction of the KZ system of equations as a flat connection on the spaces of coinvariants of representations of tensor products of Kac-Moody algebras. We consider here representations of a tensor product of Yangian doubles and compute the coinvariants of a deformation of the subalgebra generated by the regular functions of a rational curve with marked poi...

The acid-base chemistry of three zwitterionic compounds, namely anthranilic (2-aminobenzoic acid), N-methylanthranilic and N-phenylanthranilic acid has been characterized in terms of the macroconstants Ka1, Ka2, the isoelectric point pHI, the tautomerization constant Kz and microconstants k11, k12, k21, k22. The potentiometric titration method was used to determine the macrodissociation constan...