From modular invariants to graphs: the modular splitting method
نویسندگان
چکیده
We start with a given modular invariantM of a two dimensional ŝu(n)k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation and then determine, in a step-by-step explicit construction, 1) the generalized partition functions corresponding to the introduction of boundary conditions and defect lines; 2) the quantum symmetries of the higher ADE graph G associated to the initial modular invariant M. Notice that one does not suppose here that the graph G is already known, since it appears as a by-product of the calculations. We analyze several ŝu(3)k exceptional cases at levels 5 and 9.
منابع مشابه
Investigation the status of instructional design with modular method in medical education
Background and Goal: Modular method is a form of in-service training which provides job skills into a form of independent training of audiences. Each of modular provides specific skill and at the same time besides the other modular led to a new and comprehensive skill. In fact, any educational modular is a set of knowledge, attitudes and skills which by using them it can be possible to do ...
متن کاملInverse modeling of gravity field data due to finite vertical cylinder using modular neural network and least-squares standard deviation method
In this paper, modular neural network (MNN) inversion has been applied for the parameters approximation of the gravity anomaly causative target. The trained neural network is used for estimating the amplitude coefficient and depths to the top and bottom of a finite vertical cylinder source. The results of the applied neural network method are compared with the results of the least-squares stand...
متن کاملHydroponics Roofs for Saving Energy of Green Schools in the Cold and Dry climate of Iran: A Comparative Study between Two Broad and Modular Hydroponic Green Roofs
Green schools are a new type of school, in which the use of renewable energy is less than that of conventional schools. In this regard, nowadays, adding green layers to the roof of schools, in addition to increasing the Students' communication with nature, energy saving has improved in these spaces. However, to improve energy saving yield, the priority of these types of roofs in different clima...
متن کاملFixed point theorems for new J-type mappings in modular spaces
In this paper, we introduce $rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $rho$-altering and $rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE ...
متن کاملA Direct Power Feeding System for AC Railway Networks Using Modular Multilevel Converter
Abstract Traditional railway power supply systems impose substantial power quality problems (PQ) on the utility network, such as unbalance, harmonics and a large amount of reactive power. This paper proposes a topology based on three-phase to single-phase modular multilevel converters (MMC) to obviate these problems. The MMC based traction substations (TSS) are connected directly to the utili...
متن کامل