Using a general formalism of a q-deformation of an arbitrary Lie algebra, new kinds of qdeformed centerless Virasoro and U(1) Kac-Moody algebras are found. This q-deformation is associated to an R-matrix of unit square satisfying the quantum Yang-Baxter equation and allows a nontrivial Hopf structure. The central extension is also incorporated in this formalism. MIRAMARE { TRIESTE August 1998 J...

Sawood Alam Old Dominion University Norfolk, VA (USA) [email protected] Michael L. Nelson Old Dominion University Norfolk, VA (USA) [email protected] Herbert Van de Sompel Los Alamos National Lab Los Alamos, NM (USA) [email protected] Lyudmila L. Balakireva Los Alamos National Lab Los Alamos, NM (USA) [email protected] Harihar Shankar Los Alamos National Lab Los Alamos, NM (USA) [email protected] David...

A. Vazquez, A. Flammini, A. Maritan and A. Vespignani 1 Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA 2 International School for Advanced Studies (SISSA) and INFM, V. Beirut 2-4, 34014 Trieste, Italy 3 The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy and 4 Laboratoire de Physique Theorique (UMR du CNRS 8627), atiment 2...

We give an elementary introduction to the theory of supermembranes. DEDICATED TO THE MEMORY OF ABDUS SALAM Based on lectures given at the T. A. S. I. Summer School, University of Colorado, Boulder, June 1996; the Topical Meeting, Imperial College, London, July 1996 and the 26th British Universities Summer School in Theoretical Elementary Particle Physics, University of Swansea, September 1996. ...

At high density, diquarks could condense in the vacuum with the QCD color spontaneously broken. Based on the observation that the symmetry breaking pattern involved in this phenomenon is essentially the same as that of the Pati-Salam model with broken electroweak–color SU(3) group, we determine the relevant electroweak interactions in the color-flavor locked (CFL) phase in high density QCD. We ...

We examine two isomorphisms between affine Hecke algebras of type A associated with parameters q−1, t−1 and q, t. One of them maps the non-symmetric Macdonald polynomials Eη(x; q−1, t−1) onto Eη(x; q, t), while the other maps them onto non-symmetric analogues of the multivariable Al-Salam & Carlitz polynomials. Using the properties of Eη(x; q−1, t−1), the corresponding properties of these latte...

1 Physik Department, TU Muenchen, James Frank Strasse, D-85748, Garching, Germany. 2 Department of Physics and Helsinki Institute of Physics, P. O. Box 9, FIN-00014, University of Helsinki, Finland. 3 The Abdus Salam International Centre for Theoretical Physics, I-34100, Trieste, Italy. 4 Departamento de F́ısica, Centro de Investigación y de Estudios Avanzados del I.P.N. Apdo. Post. 14-740, 0700...

Antonio Celani, 2 Emmanuel Villermaux, and Massimo Vergassola 4 Institut Pasteur, Research Unit “Physics of Biological Systems”, 75724 Paris Cedex 15, France, and CNRS UMR 3525, 28 rue du docteur Roux, 75015 Paris, France The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34014 Trieste, Italy Aix Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7...

Juyong Song,1, 2, 3 Matteo Marsili,3, ∗ and Junghyo Jo1, 2, 4, † Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 37673, Korea Department of Physics, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Korea The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy School of Computational Sciences, Korea Institute for ...

Non-linear Fourier analysis on compact groups is used to construct an orthonormal basis of the physical (gauge invariant) Hilbert space of Hamiltonian lattice gauge theories. In particular, the matrix elements of the Hamiltonian operator involved are explicitly computed. Finally, some applications and possible developments of the formalism are discussed. CPT-99/P.3856 University of Parma Prepri...