We consider two indeterminate moment problems: One corresponding to a birth and death process with quartic rates and the other corresponding to the Al-Salam-Carlitz q-polynomials. Using the Darboux method, we calculate their Nevanlinna matrices and several families of orthogonality measures.

We study intersecting D6-branes in Calabi-Yau manifolds that are smooth hypersurfaces in weighted projective spaces. We develop the techniques for calculating intersection numbers between special Lagrangian sub-manifolds defined as fixed loci of anti-holomorphic involutions. We present global Pati-Salam and MSSM-like models that are supersymmetric up to a decoupled hidden sector. ∗email: palti@...

Generalized Yang-Mills theories are constructed, that can use fields other than vector as gauge fields. Their geometric interpretation is studied. An application to the Glashow-Weinberg-Salam model is briefly review, and some related mathematical and physical considerations are made.

We describe the q–Engel series expansion for Laurent series discovered by John Knopfmacher and use this algorithm to shed new light on partition identities related to two entries from Slater’s list. In our study Al-Salam/Ismail and Santos polynomials play a crucial rôle. Dedicated to the memory of John Knopfmacher 1937–1999

Samir Kunkri, ∗ Guruprasad Kar, † Sibasish Ghosh, ‡ and Anirban Roy § Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India Department of Computer Science , The University of York, Heslington, York, YO10 5DD, United Kingdom The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste, Italy, 34014 (Dated: February ...

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

C.D. FROGGATT ∗, L.V. LAPERASHVILI †, H.B. NIELSEN ‡ and Y. TAKANISHI § ∗ Department of Physics and Astronomy, Glasgow University, Glasgow G12 8QQ, Scotland E-mail: [email protected] † ITEP, 25 B. Cheremushkinskaya Str., 117218 Moscow, Russia E-mail: [email protected] ‡ The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark E-mail: [email protected] § The Abdus Salam I...

B. S. Acharya(), F. Cavallari(), G. Corcella()(), R. Di Sipio() and G. Petrucciani() () Abdus Salam International Center for Theoretical Physics and INFN Sezione di Trieste, Italy () INFN, Sezione di Roma, Italy () Museo Storico della Fisica e Centro Studi e Ricerche E. Fermi, Italy () Scuola Normale Superiore and INFN, Sezione di Pisa, Italy () Università di Bologna and INFN Sezione di Bologna...

† Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA ‡ International School for Advanced Studies (S.I.S.S.A.), Via Beirut 2-4, 34014 Trieste, INFM and the Abdus Salam International Center for Theoretical Physics, Trieste, Italy § Niels Bohr Institutet, Blegdamsvej 17, 2100 København Ø, Denmark * To whom correspondence should ...

Souleymane Kamara , , Adélaïde Raguin, Janusz Sadowski*, Rose Marie Galéra,**,Catherine Gourdon***, Salam Charar and Férial Terki Groupe d’Etude des Semiconducteurs, Montpellier University, 34095 Montpellier, France *MAX-Lab, Lund University, P.O. Box 118, 221 00 Lund, Sweden **Institut Néel, and Centre National de la Recherche Scientifique, BP 116, 38042 Grenoble cedex 9, France. *** Institut ...