concerning two closely related topics: topological quantum field theories and .... cuss remarkable theory relating A-model on one manifold with B-theory on another ... The standard way to work with ill-defined infinite-dimensional integrals is to.
We would like to stress that unlike the Moyal case, the origin of the ... nite noncommutative dipole gauge theories, there is the chance of finding a CP (and even ... Now we should introduce a suitable Tr on the algebra. The natural ...... physics: c
Jun 28, 2006 - charge, allowing a simple algebraic understanding of their topological properties that are not man- ifest in the CF wave functions.
USC-98-001. Boundary conditions changing ...... Acknowledgments: part of this work was carried out at the ITP, where we benefitted from discussions with J.
Sep 16, 2009 - the notion of a "boson star" has become standard in the literature, therefore we .... In the numerical integration we mainly used shooting from.
Lattice Field Theories. J. C. A. Barata 1 and K. Fredenhagen.2. Abstract: A Haag-Ruelle Scattering Theory for Euclidean Lattice Field. Theories is developed.
The physical economy studies features and principles of development of a ground of material. (physical) ..... 20. 090. 350. 040. 150. 200. 120. 030. 30. 250. 030. 070. 10. 270. 0250. 020. 050 .... [8] McConnell K.R., Brue S.L. (1993) Economics.
This agrees with the earlier Lieb-Schultz-Mattis argument. Although the .... D. Gepner, H. J. Schulz and T. Ziman, J. Phys. ... Sternlieb and R. W. Erwin, Phys. Rev.
invariant partition functions of Rational Conformal Field Theories with respect ... become clear that Conformal Field Theory (CFT) has exceptional properties in.
Z/iVZ Conformal Field Theories P. Degiovanni LPTENS, 24 rue Lhomond, F-75OO5 Paris, France*
Abstract. We compute the modular properties of the possible genus-one characters of some Rational Conformal Field Theories starting from their fusion rules. We show that the possible choices of S matrices are indexed by some automorphisms of the fusion algebra. We also classify the modular invariant partition functions of these theories. This gives the complete list of modular invariant partition functions of Rational Conformal Field Theories with respect to the Aff level one algebra. Introduction
Since the important work of Belavin, Polyakov and Zamolodchikov [1], it has become clear that Conformal Field Theory (CFT) has exceptional properties in two dimensions. In particular, the symmetry of these theories is so huge that the hope of a possible classification has emerged. The main idea is to classify the states of a CFT using representations of the symmetry algebra of the theory. Rational Conformal Field Theories, where only a finite number of representations appear, provide the simplest situation. Recently the application of these ideas through a detailed study of modular invariance on any surface (punctured or not punctured and in any genus) has produced remarkable results [2,3,4,5]. One of the most amazing facts is the appearance of an unexpected relationship between the fusion rules of a RCFT and the modular properties of genus-one characters tr(
