Yamir Moreno, Romualdo Pastor-Satorras, Alexei Vázquez, and Alessandro Vespignani The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy 2 Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord, Mòdul B4, 08034 Barcelona, Spain International School for Advanced Studies SISSA/ISAS, via Beirut 4, 34014 Trieste, Italy...

One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are established. A connection of the kernel of this transform with a family of self-dual biorthogonal rational functions is observed.

We study meson decays mediated by the heavy gauge bosons of the Pati-Salam model of quark-lepton unification. We consider the scenarios in which the τ lepton is associated with the third, second, and first generation of quarks. The most sensitive probes, depending on the scenario, are rare K, π, and B decays.

In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, H7 III and H D8 III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual qHahn, Al-Salam–Chihara, continuous big q-Hermite and continuous q-Hermite polynomials.

N.N. Bogolubov (jr.)1,2∗, Ya.A. Prykarpatsky3,4†, A.A. Ghazaryan5 1 Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russian Federation 2 Abdus Salam International Centre for Theoretical Physics, Trieste, Italy 3 Institute of Mathematics, Pedagogical University of Cracow, Poland 4 Drohobych Ivan Franko State Pedagogical University, Lviv region, Ukraine 5 The Lomonosov ...

Salam plant (Syzygium polyanthum) can grow in marginal soils, such as soil contaminated with used oil. The planting of salam the application cow manure and husk charcoal is expected to reduce bad impact engine oil pollution. This study aims analyze response growth obtain information on optimal dose increase a concentration 60 ml/1 kg soil. factorial completely randomized design two factors anal...

This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol’nyPrasad-Sommerfield bounds on their energy densities and are the carriers of the p-form charges that appear in the supersymmetry algebra. The simplest such solutions have the character of (p + 1)-dimensional Poincaré-invariant hyperplanes ...

We explore the possibility of embedding the Pati–Salam model in the context of Type I brane models. We study a generic model with U(4) C × U(2) L × U(2) R gauge symmetry and matter fields compatible with a Type I brane configuration. Examining the anomaly cancellation conditions of the surplus abelian symmetries we find an alternative hypercharge embedding that is compatible with a low string/b...