A note on monopole moduli spaces

We discuss the structure of the framed moduli space of Bogomolny monopoles for arbitrary symmetry breaking and extend the definition of its stratification to the case of arbitrary compact Lie groups. We show that each stratum is a union of submanifolds for which we conjecture that the natural $L^2$ metric is hyperKahler. The dimensions of the strata and of these submanifolds are calculated, and it is found that for the latter, the dimension is always a multiple of four.Comment: 17 pages, LaTe

129. Zaburzenia liczby kopii genów erbB-1 i erbB-2 i ich związek z danymi klinicznymi u leczonych operacyjnie chorych na niedrobnokomórkowego raka płuca

Szlak sygnałowy nabłonkowego czynnika wzrostu (ang. epidermal growth factor, EGF) i jego receptory (najważniejsze z nich to erbB-1 i erbB-2) odgrywają ważną rolę w patogenezie i progresji raka płuca. Kliniczne znaczenie nadekspresji tych receptorów pozostaje nadal przedmiotem kontrowersji a dotychczasowe badania przynosiły sprzeczne wyniki. Z uwagi na opracowane ostatnio leki o wybiórczym działaniu przeciwnowotworowym, działające poprzez powyższe receptory, poznanie rokowniczego znaczenia tych zaburzeń może odegrać ważną rolę w ustalaniu optymalnego sposobu leczenia. Celem pracy była ocena rokowniczego znaczenia anomalii średniej liczby kopii genów (ang. avarage gene copy numer, AGCN) u chorych na niedrobnokomórkowego raka płuca poddanych resekcji miąższu płucnego.Materiał i metodyDo badania włączono 112 chorych leczonych operacyjnie w latach 1996–1999. U 61 chorych (55%) rozpoznano postać raka płaskonabłonkowego, u 30 (27%) gruczolakoraka, u 10 (9%) raka wielokomórkowego i u 10 (9%) chorych postacie mieszane. Stopień zaawansowania nowotworu kształtował się następująco: I=54 (48%), II=11 (10%), III=40 (36%), IV=7 (6%). Materiał do analizy molekularnej stanowiło DNA izolowane ze świeżo mrożonych wycinków guza pobranych podczas zabiegu operacyjnego. AGCN określano za pomocą podwójnie różnicowej reakcji polimerazy i elektroforezy agarozowej.WynikiŚrednia wartość AGCN dla erbB-1 wynosiła 2,0 (zakres od 0,01 do 28,07), a dla erbB-2 1,34 (zakres od 0,11 do 9,9). Stwierdzono znamienną zależność pomiędzy AGCN dla obu genów. Nie stwierdzono znamiennego związku z jakimkolwiek głównym parametrem klinicznym. Do czasu przeprowadzenia analizy zmarło 73 chorych (65%). Po czasie obserwacji o medianie 5,1 roku nie stwierdzono wpływu AGCN na czas przeżycia (log-rank, P=0,9; 0,83; 0,8 odpowiednio dla erbB-1, erbB-2 i dla obu genów łącznie).WnioskiUzyskane wyniki wskazują na brak rokowniczego znaczenia AGCN erbB-1 i erbB-2 u chorych na raka płuca poddanych resekcji miąższu płucnego

New Thermal Taste Actuation Technology for Future Multisensory Virtual Reality and Internet

Today’s virtual reality (VR) applications are mainly based on audio, visual, and haptic interactions between human and virtual world. Integrating the sense of taste into VR is difficult since we are dependent on chemical-based taste delivery systems. Therefore, developing a proper non-chemical digital taste actuation technology can unlock taste experiences in VR applications such as gaming, multisensory entertainment, remote dining, and online shopping. This paper presents the ‘Thermal Taste Machine’, a new digital taste actuation technology that can effectively produce and modify thermal taste sensations on the tongue. This device changes the temperature of the surface of the tongue within a short period of time (from 25 ◦ C to 40 ◦ C while heating and from 25 ◦ C to 10 ◦ C while cooling). We tested this device on human subjects and described the experience of thermal taste using 20 known (taste and non-taste) sensations. Our results suggested that rapidly heating the tongue produce sweetness, fatty/oiliness, electric taste, warmness, and reduced the sensibility for metallic taste. Similarly, participants reported that the cooling the tongue produced mint taste, pleasantness, and coldness. By conducting an another user study on the perceived sweetness of sucrose solutions after the thermal stimulation, we found that heating the tongue significantly enhanced the intensity of sweetness for both thermal tasters and non-thermal tasters. Also, we found that faster temperature rise on the tongue produce more intense sweet sensations for thermal tasters. We believe that this technology will be useful in two ways: First, it can produce taste sensations without using chemicals for the individuals who are sensitive to thermal taste. Second, the temperature rise of the device can be used as a way to enhance the intensity of sweetness. We believe that this technology can be used to digitally produce and enhance taste sensations in future virtual reality applications. The key novelties of this paper are as follows: 1. Development of a thermal taste actuation technology for stimulating the human taste receptors, 2. Characterization of the thermal taste produced by the device based on a set of taste related sensations and non-taste related sensations, 3. Research on enhancing the intensity for sucrose using thermal stimulation, 4. Research on how different speeds of heating affect the intensity of sweetness produced by thermal stimulation

Side channel attacks on smart home systems: A short overview

This paper provides an overview on side-channel attacks with emphasis on vulnerabilities in the smart home. Smart homes are enabled by the latest developments in sensors, communication technologies, internet protocols, and cloud services. The goal of a smart home is to have smart household devices collaborate without involvement of residents to deliver the variety of services needed for a higher quality of life. However, security and privacy challenges of smart homes have to be overcome in order to fully realize the smart home. Side channel attacks assume data is always leaking, and leakage of data from a smart home reveals sensitive information. This paper starts by reviewing side-channel attack categories, then it gives an overview on recent attack studies on different layers of a smart home and their malicious goals

Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold

We consider 3-monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah-Hitchin submanifold of the 3-monopole moduli space. This allows what is known about 2-monopole dynamics to be translated into results about the dynamics of 3-monopoles. Using a numerical ADHMN construction we compute the monopole energy density at various points on two interesting geodesics. The first is a geodesic over the two-dimensional rounded cone submanifold corresponding to right angle scattering and the second is a closed geodesic for three orbiting monopoles.Comment: latex, 22 pages, 2 figures. To appear in Nonlinearit

Magnetic table for levitating food for entertainment

In this paper, we discuss our work towards a new dining platform that uses magnetic levitating food and magnetic utensils in an initial prototype device. The ultimate goal of the project is a complete table with dynamic levitating food, but the current implementation is a set of levitating magnets that can be encased in food hovering over static locations. We investigated different weights and shapes of 3-D printed objects to mimic food and found that the levitating magnets are strong enough to support lightweight food. This magnetic levitating table can produce a playful and entertaining dining experience by moving and rotating to stay in place. The key novelties of this paper are the integration of food with a magnetic levitating table for playful interactions and novel dining experiences

New hyper-Kaehler manifolds by fixing monopoles

The construction of new hyper-Kaehler manifolds by taking the infinite monopole mass limit of certain Bogomol'nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyperkaehler manifolds due to Dancer is shown to be an example of such manifolds. A new family of fixed monopole spaces is constructed. They are the moduli spaces of four SU(4) monopoles, in the infinite mass limit of two of the monopoles. These manifolds are shown to be nonsingular when the fixed monopole positions are distinct.Comment: Version in Phys. Rev. D. 11 pp, RevTeX, 14 Postscript diagram

Memory difference control of unknown unstable fixed points: Drifting parameter conditions and delayed measurement

Difference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization of a priori unknown unstable fixed points by introducing a memory term. If the amplitude of the control applied in the previous time step is added to the present control signal, fixed points with arbitrary Lyapunov numbers can be controlled. This method is also extended to compensate arbitrary time steps of measurement delay. We show that our method stabilizes orbits of the Chua circuit where ordinary difference control fails.Comment: 5 pages, 8 figures. See also chao-dyn/9810029 (Phys. Rev. E 70, 056225) and nlin.CD/0204031 (Phys. Rev. E 70, 046205

Twisting gauged non-linear sigma-models

We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of the vortex equations and computes the Hamiltonian Gromov-Witten invariants. When the target is equivariantly Calabi-Yau, i.e. when its first G-equivariant Chern class vanishes, the supersymmetric theory can also be twisted into a gauged B-model. This model localizes to the Kaehler quotient X//G.Comment: 33 pages; v2: small additions, published versio

SYZ mirror symmetry for hypertoric varieties

We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using $T$-duality and generating functions of open Gromov-Witten invariants. The variety is singular in general. We construct a resolution using the wall and chamber structure of the SYZ base.Comment: v_2: 31 pages, 5 figures, minor revision. To appear in Communications in Mathematical Physic