5,902 research outputs found
Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants
Braided subfactors of von Neumann algebras provide a framework for studying
two dimensional conformal field theories and their modular invariants. We
review this in the context of SU(3) conformal field theories through
corresponding SU(3) braided subfactors and various subfactor invariants
including spectral measures for the nimrep graphs, A_2-planar algebras and
almost Calabi-Yau algebras.Comment: 45 pages, 25 figures. v3: minor correction to Figure 14; v2: figures
of 0-1 parts of graphs included, some minor correction
Spectral Measures for
Spectral measures provide invariants for braided subfactors via fusion
modules. In this paper we study joint spectral measures associated to the
compact connected rank two Lie group and its double cover the compact
connected, simply-connected rank two Lie group , including the McKay
graphs for the irreducible representations of and and their
maximal tori, and fusion modules associated to the modular invariants.Comment: 41 pages, 45 figures. Title changed and notation corrected. arXiv
admin note: substantial text overlap with arXiv:1404.186
Spectral Measures for II: finite subgroups
Joint spectral measures associated to the rank two Lie group , including
the representation graphs for the irreducible representations of and its
maximal torus, nimrep graphs associated to the modular invariants have
been studied. In this paper we study the joint spectral measures for the McKay
graphs (or representation graphs) of finite subgroups of . Using character
theoretic methods we classify all non-conjugate embeddings of each subgroup
into the fundamental representation of and present their McKay graphs,
some of which are new.Comment: 33 pages, 20 figures; minor improvements to exposition. Accepted for
publication in Reviews in Mathematical Physic
Spectral Measures for
Spectral measures provide invariants for braided subfactors via fusion
modules. In this paper we study joint spectral measures associated to the rank
two Lie group , including the McKay graphs for the irreducible
representations of and its maximal torus, and fusion modules associated
to all known modular invariants.Comment: 36 pages, 40 figures; correction to Sections 5.4 and 5.5, minor
improvements to expositio
Constitutive Equations for Use in Design Analyses of Long-life Elevated Temperature Components
Design analysis needs and procedures relative to elevated temperature components in liquid metal fast breeder reactor (LMFBR) system were examined. The effects of the thermal transients on the pressure boundary components are enhanced by the excellent heat transfer properties of the liquid sodium coolant. Design criteria for high temperature nuclear reactor components recognize the potential occurrence of inelastic structural response. Specifically, criteria and limits were developed which reflect a recognition of this potential and employ design by analysis concepts that requires that inelastic (elastic-plastic and creep) analyses be performed. Constitutive equations to represent multiaxial time-dependent responses of LMFBR alloys are established. The development of equations applicable under cyclic loading conditions are outlined
Automated control of hierarchical systems using value-driven methods
An introduction is given to the Value-driven methodology, which has been successfully applied to solve a variety of difficult decision, control, and optimization problems. Many real-world decision processes (e.g., those encountered in scheduling, allocation, and command and control) involve a hierarchy of complex planning considerations. For such problems it is virtually impossible to define a fixed set of rules that will operate satisfactorily over the full range of probable contingencies. Decision Science Applications' value-driven methodology offers a systematic way of automating the intuitive, common-sense approach used by human planners. The inherent responsiveness of value-driven systems to user-controlled priorities makes them particularly suitable for semi-automated applications in which the user must remain in command of the systems operation. Three examples of the practical application of the approach in the automation of hierarchical decision processes are discussed: the TAC Brawler air-to-air combat simulation is a four-level computerized hierarchy; the autonomous underwater vehicle mission planning system is a three-level control system; and the Space Station Freedom electrical power control and scheduling system is designed as a two-level hierarchy. The methodology is compared with rule-based systems and with other more widely-known optimization techniques
Correlations Between Metallurgical Characterization Studies, Exploratory Mechanical Tests, and Continuum Mechanics Approaches to Constitutive Equations
Austenitic stainless steels, such as types 316 and 304, are widely used as pressure vessel materials in the temperature range of 425 to 650 C. Stainless steel specimens were tested to rupture at two different stress levels sigma and sigma 2 sigma 1 sigma 2) to establish the normal stain-time behavior. A subsequent test was performed in which the specimen was crept at the higher stress (sigma 1) to the beginning of the secondary stage of creep, presumed to be the strain/time conditions at which a steady state microstructure is developed, and then the stress was reduced to the lower level (sigma 2). The associated microstructure, and significance of this microstructure on the creep strain-hardening model for variable uniaxial loads were assesed and found to be consistent with the use of creep-recovery models at high stresses and temperatures and strain-hardening models at low stresses and tempertures
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