We determine N = 4 partition functions on K3 for some ADE gauge groups, on the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result, we reveal a close relation between Hecke operator and S-duality of N = 4 ADE gauge theory on K3.

Inspired by Cachazo, Katz and Vafa (“Geometric transitions and N = 1 quiver theories” (hep-th/0108120)), we examine representations of “N = 1 quivers” arising from string theory. We derive some mathematical consequences of the physics, and show that these results are a natural extension of Gabriel’s ADE theorem. Extending the usual ADE case that relates quiver representations to curves on surfa...

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, N = 1 gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for t...

The presence of butanoic acid excess in the reaction media employed for the synthesis of a MOF with formula [Cu(2)(μ(3)-ade)(2)(μ(2)-OOC(CH(2))(2)CH(3))(2)](n) (ade: adeninate) leads to the formation of micelles that exert a template effect and provide a pronounced increase of its microporosity, doubling the intrinsic adsorption capacity of the pristine crystal network.

This paper describes a knowledge-based system for the non-destructive diagnostics of fac ade isolation. The system uses the fusion of information extracted from images obtained from two electromagnetic wavebands: from low-resolution IR images (320 240 pixels; 7.5–13 lm wavelength), and from highresolution visual RGB images (3264 2448 pixels; 0.39–0.75 lmwavelength). The fusion of the informatio...

Recent evidence has suggested that the Korean horn beetle (Allomyrina dichotoma) has anti-hepatofibrotic, anti-neoplastic, and antibiotic effects and is recognized as a traditional medicine. In our previous works, Allomyrina dichotoma larvae (ADL) inhibited differentiation of adipocytes both in vitro and in vivo. However, the anorexigenic and endoplasmic reticulum(ER) stress-reducing effects of...

Enterovirus (EV) is an RNA virus that has circulated with different serotypes and genotypes worldwide. Enterovirus 71 (EV71) is a major neurotropic virus that causes severe brain stem encephalitis (BE) in infants and young children. The most vulnerable age for fatal infection is 6 to 11 months. This is associated with the coincident decline in maternal antibodies. The current report describes o...

Let Σ be a smooth projective complex curve and g a simple Lie algebra of type ADE with associated adjoint group G. For a fixed pair (Σ, g), we construct a family of quasiprojective Calabi-Yau threefolds parameterized by the base of the Hitchin integrable system associated to (Σ, g). Our main result establishes an isomorphism between the Calabi-Yau integrable system, whose fibers are the interme...

The problem of state estimation of a continuous-time stochastic process using an Asynchronous Distributed multi-sensor Estimation (ADE) system is considered. The state of a process of interest is estimated by a group of local estimators constituting the proposed ADE system. Each estimator is based, e.g., on a Kalman filter and performs single sensor filtration and fusion of its local results wi...