Non-abelian instantons on a fuzzy four-sphere

We study the compatibility between the $BPST SU(2)$ instanton and the fuzzy four-sphere algebra. By using the projective module point of view as an intermediate step, we are able to identify a non-commutative solution of the matrix model equations of motion which minimally extends the SU(2) instanton solution on the classical sphere $S^4$. We also propose to extend the non-trivial second Chern class with the five-dimensional noncommutative Chern-Simons term

Self-generated cognitive fluency as an alternative route to preference formation

People tend to prefer fluently processed over harder to process information. In this study we examine two issues concerning fluency and preference. First, previous research has pre-selected fluent and non-fluent materials. We did not take this approach yet show that the fluency of individuals’ idiosyncratic on-line interactions with a given stimulus can influence preference formation. Second, while processing fluency influences preference, the opposite also may be true: preferred stimuli could be processed more fluently than non-preferred. Participants performed a visual search task either before or after indicating their preferred images from an array of either paintings by Kandinsky or decorated coffee mugs. Preferred stimuli were associated with fluent processing, reflected in facilitated search times. Critically, this was only the case for participants who gave their preferences after completing the visual search task, not for those stating preferences prior to the visual search task. Our results suggest that the spontaneous and idiosyncratic experience of processing fluency plays a role in forming preference judgments and conversely that our first impressions of preference do not drive response fluency

The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence

We compute the high-temperature limit of the free energy for four-dimensional N=4 supersymmetric SU(N_c) Yang-Mills theory. At weak coupling we do so for a general ultrastatic background spacetime, and in the presence of slowly-varying background gauge fields. Using Maldacena's conjectured duality, we calculate the strong-coupling large-N_c expression for the special case that the three-space has constant curvature. We compare the two results paying particular attention to curvature corrections to the leading order expressions.Comment: 26 pages.Minor corrections to eqs.(19),(21). Results and conclusions unchanged. References adde

Grasping the concept of personal property.

The concept of property is integral to personal and societal development, yet understanding of the cognitive basis of ownership is limited. Objects are the most basic form of property, so our physical interactions with owned objects may elucidate nuanced aspects of ownership. We gave participants a coffee mug to decorate, use and keep. The experimenter also designed a mug of her own. In Experiment 1, participants performed natural lifting actions with each mug. Participants lifted the Experimenter's mug with greater care, and moved it slightly more towards the Experimenter, while they lifted their own mug more forcefully and drew it closer to their own body. In Experiment 2, participants responded to stimuli presented on the mug handles in a computer-based stimulus-response compatibility task. Overall, participants were faster to respond in trials in which the handles were facing in the same direction as the response location compared to when the handles were facing away. The compatibility effect was abolished, however, for the Experimenter's mug - as if the action system is blind to the potential for action towards another person's property. These findings demonstrate that knowledge of the ownership status of objects influences visuomotor processing in subtle and revealing ways

A perspective on the mechanism of the light-rise of the electro-oculogram

The light-rise of the electro-oculogram is believed to originate from a substance released from the rods after dark adaptation. The identity of this 'elusive' light-rise substance has not been demonstrated and therefore a new perspective on the light-rise is presented. The light-rise is caused by the depolarization of the basolateral membrane of the retinal pigment epithelium has become clearer in the last decade with the identification of calcium as the intracellular secondary messenger and the role of bestrophin as a regulator of intracellular stores of calcium and controlling the cytosolic calcium levels through L-type calcium channels. The light-rise depends upon a change from darkness to light which triggers the intracellular cascade resulting in the depolarization of the basolateral membrane. The same intracellular signalling molecules- notably calcium and inositol tri-phosphate (IP3) are strongly implicated in this cascade. Recent studies have now led to a clearer understanding of the roles and functions of the ion channels and their contribution to the light-rise with IP3 regulating the release of calcium for intracellular stores. Given that calcium and IP3 are also regulators of phagocytosis, and that the initiation of rod outer segment phagocytosis is initiated with light-onset, it may be that the light-rise is generated in response to this physiological event. Therefore, the putative light-rise substance may not be released by the rods but follows directly from IP3 release from the RPE's phospholipid membrane following the onset of light and the initiation of phagocytosis- The light rise substance, could be considered to be light itself

An analysis of the fluctuations of the geomagnetic dipole

The time evolution of the strength of the Earth's virtual axial dipole moment (VADM) is analyzed by relating it to the Fokker-Planck equation, which describes a random walk with VADM-dependent drift and diffusion coefficients. We demonstrate first that our method is able to retrieve the correct shape of the drift and diffusion coefficients from a time series generated by a test model. Analysis of the Sint-2000 data shows that the geomagnetic dipole mode has a linear growth time of 13 to 33 kyr, and that the nonlinear quenching of the growth rate follows a quadratic function of the type [1-(x/x0)^2]. On theoretical grounds, the diffusive motion of the VADM is expected to be driven by multiplicative noise, and the corresponding diffusion coefficient to scale quadratically with dipole strength. However, analysis of the Sint-2000 VADM data reveals a diffusion which depends only very weakly on the dipole strength. This may indicate that the magnetic field quenches the amplitude of the turbulent velocity in the Earth's outer core.Comment: 11 pages, 6 figure

Dynamics of First Order Transitions with Gravity Duals

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in this phase and lowers the temperature, the usual description of how the phase transition proceeds violates the area theorem. We study the dynamics of this phase transition using the insights from the dual gravitational description, and resolve this apparent contradiction.Comment: 11 pages, 1 figure. v2: minor clarifications, reference adde

Dependent Types for Pragmatics

This paper proposes the use of dependent types for pragmatic phenomena such as pronoun binding and presupposition resolution as a type-theoretic alternative to formalisms such as Discourse Representation Theory and Dynamic Semantics.Comment: This version updates the paper for publication in LEU

Crowding and visual search in high functioning adults with autism spectrum disorder

Purpose: Individuals with autism spectrum disorder have demonstrated faster reaction times when searching for objects in a visual scene. One possible explanation for this observation is that the influence of crowding may not be as strong within this group compared to typically developing individuals. Subjects and methods: We recruited 16 participants with and without a diagnosis of autism spectrum disorder in the age range of 20–58 years. The main experiments focused on determining the critical spacing for the correct identification of an ellipse’s orientation in the periphery when flanked by two circles with 81% correctly identified. The second experiment was an attempt to replicate previous studies that had demonstrated superior visual search in autism using reaction time, set-size slopes and intercepts as measures of search efficiency and pre-attentive processes. Results: There were no significant group differences in the critical spacings for the crowded ellipses in the periphery (P = 0.358) or in the elliptical discrimination thresholds (P = 0.477). In addition there were no significant differences between groups in reaction times (P = 0.083), accuracy (P = 0.658) and set-size slopes (P = 0.976), however the intercept for the set-size slope function was significantly lower for the comparison group (P = 0.016). Conclusions: The individuals we tested demonstrated neither immunity to crowding nor any advantage in the visual search task. Therefore, we failed to confirm that enhanced discrimination underlies superiority in visual search in adults with high functioning autism spectrum disorder. This finding may be associated with the older age group investigated compared to previous studies and suggests that the underlying mechanism of superior visual search may not be a persistent feature of autism spectrum disorder

PP-wave and Non-supersymmetric Gauge Theory

We extend the pp-wave correspondence to a non supersymmetric example. The model is the type 0B string theory on the pp-wave R-R background. We explicitly solve the model and give the spectrum of physical states. The field theory counterpart is given by a sector of the large N SU(N) x SU(N) CFT living on a stack of N electric and N magnetic D3-branes. The relevant effective coupling constant is g_{eff}=g_sN/J^2. The string theory has a tachyon in the spectrum, whose light-cone energy can be exactly computed as a function of g_{eff}. We argue that the perturbative analysis in g_{eff} in the dual gauge theory is reliable, with corrections of non perturbative type. We find a precise state/operator map, showing that the first perturbative corrections to the anomalous dimensions of the operators have the behavior expected from the string analysis.Comment: 19 pages. Revised versio