Non-perturbative studies of N=2 conformal quiver gauge theories

We study N=2 super-conformal field theories in four dimensions that correspond to mass-deformed linear quivers with n gauge groups and (bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained from an M-theory construction and via the AGT correspondence. We take particular care in obtaining the detailed relation between the parameters appearing in these descriptions and the physical quantities of the quiver gauge theories. This precise map allows us to efficiently reconstruct the non-perturbative prepotential that encodes the effective IR properties of these theories. We give explicit expressions in the cases n=1,2, also in the presence of an Omega-background in the Nekrasov-Shatashvili limit. All our results are successfully checked against those of the direct microscopic evaluation of the prepotential a la Nekrasov using localization methods.Comment: 56 pages, 7 figures, PdfLaTeX. v2: a few references added, version to appear on Fortschritte der Physi

Modular and duality properties of surface operators in N=2* gauge theories

We calculate the instanton partition function of the four-dimensional N=2* SU(N) gauge theory in the presence of a generic surface operator, using equivariant localization. By analyzing the constraints that arise from S-duality, we show that the effective twisted superpotential, which governs the infrared dynamics of the two-dimensional theory on the surface operator, satisfies a modular anomaly equation. Exploiting the localization results, we solve this equation in terms of elliptic and quasi-modular forms which resum all non-perturbative corrections. We also show that our results, derived for monodromy defects in the four-dimensional theory, match the effective twisted superpotential describing the infrared properties of certain two-dimensional sigma models coupled either to pure N=2 or to N=2* gauge theories.Comment: 51 pages, v3: references added, typos fixed, footnote added, some small changes in the text, appendix B streamlined. Matches the published versio

Surface operators in 5d gauge theories and duality relations

We study half-BPS surface operators in 5d N=1 gauge theories compactified on a circle. Using localization methods and the twisted chiral ring relations of coupled 3d/5d quiver gauge theories, we calculate the twisted chiral superpotential that governs the infrared properties of these surface operators. We make a detailed analysis of the localization integrand, and by comparing with the results from the twisted chiral ring equations obtain constraints on the 3d and 5d Chern-Simons levels so that the instanton partition function does not depend on the choice of integration contour. For these values of the Chern-Simons couplings, we comment on how the distinct quiver theories that realize the same surface operator are related to each other by Aharony-Seiberg dualities.Comment: 39 pages. v2: A few sentences rephrased, references added, and typos corrected. Matches version published in JHE

GPS radio occultation sounding to support General Circulation Models

An assessment of the suitability of the horizontal and vertical resolution of GPS radio occultation measurements for climate studies is carried out. Simple physical relations are used to estimate the consistency between horizontal and vertical resolutions of radio occultation measurements as compared with those of the existing observing systems. In particular, the horizontal scale of the upper troposphere water vapour is investigated by analysing the variability of the refractivity index using the re-analysis data from NCEP/NCAR. The computation shows that the 300 km horizontal resolution of GPS radio occultation is within the useful range and captures the water vapour variations that are relevant for climatological purposes. Next, focusing the analysis on the requirements of the vertical resolution, we study the sensitivity of a radiative model to changes in the vertical resolution, assessing the impacts of these variations on the atmospheric equilibrium. For this purpose one reference profile and other five with lower vertical resolutions are used to perform the experiment. Results show that the model is sensitive to variations in the vertical sampling, suggesting that high vertical resolution measurements are necessary for an accurate observation of the atmosphere. To further assess the influence of the vertical sampling, the thermal tropopause height dependence on the number of layers considered is studied. Results indicate that the highest vertical resolution is needed for determining the radiative component of the tropopause dynamics

GPS radio occultation sounding to support General Circulation Models

An assessment of the suitability of the horizontal and vertical resolution of GPS radio occultation measurements for climate studies is carried out. Simple physical relations are used to estimate the consistency between horizontal and vertical resolutions of radio occultation measurements as compared with those of the existing observing systems. In particular, the horizontal scale of the upper troposphere water vapour is investigated by analysing the variability of the refractivity index using the re-analysis data from NCEP/NCAR. The computation shows that the 300 km horizontal resolution of GPS radio occultation is within the useful range and captures the water vapour variations that are relevant for climatological purposes. Next, focusing the analysis on the requirements of the vertical resolution, we study the sensitivity of a radiative model to changes in the vertical resolution, assessing the impacts of these variations on the atmospheric equilibrium. For this purpose one reference profile and other five with lower vertical resolutions are used to perform the experiment. Results show that the model is sensitive to variations in the vertical sampling, suggesting that high vertical resolution measurements are necessary for an accurate observation of the atmosphere. To further assess the influence of the vertical sampling, the thermal tropopause height dependence on the number of layers considered is studied. Results indicate that the highest vertical resolution is needed for determining the radiative component of the tropopause dynamics

Modular anomaly equations and S-duality in N=2 conformal SQCD

We use localization techniques to study the non-perturbative properties of an N = 2 $$\mathcal{N}=2$$ superconformal gauge theory with gauge group SU(3) and six fundamental flavours. The instanton corrections to the prepotential, the dual periods and the period matrix are calculated in a locus of special vacua possessing a ℤ 3 symmetry. In a semiclassical expansion, we show that these observables are constrained by S-duality via a modular anomaly equation which takes the form of a recursion relation. The solutions of the recursion relation are quasi-modular functions of Γ 1 (3), which is a subgroup of the S -duality group and is also a congruence subgroup of SL(2 , ℤ )

Response to letter to the editor regarding physical restraint in psychiatric setting

The following letter addresses the issues of the applicability of physical restriction, with particular attention to the therapeutic regime and its meaning as a therapeutic or restrictive provision, while considering possible alternative measures in the context of Italian jurisprudence. The letter, in response to the questions posed by Cioffi and Tomassini, examines the possible legal implications for doctors and suggests that the integration of jurisprudence and psychiatry seems to be mandatory to define the operational protocols for the management of physical restraint. Introduzione. La seguente lettera affronta il problema relativo all’applicabilità della contenzione fisica, con particolare riferimento al regime terapeutico, nonché la sua valenza giuridica quale misura terapeutica o restrittiva, considerando eventuali approcci alternativi. La lettera, in risposta alle domande poste da Cioffi e Tomassini, esamina le possibili implicazioni legali cui possono incorrere i medici nell’applica-re la contenzione fisica, suggerendo la necessità di un’integrazione tra le norme giurisprudenziale e la scienza psichiatrica, al fine di definire i protocolli operativi di gestione della contenzione fisica

Role of post mortem CT (PMCT) in high energy traumatic deaths

Background. Post Mortem Computed Tomography (PMCT) is being increasingly implemented in forensic field and could be an adjuvant to classic autopsies. In this study we evaluated the feasibility of complementation of conventional autopsy in trauma victims with PMCT. Materials and methods. A total of 21 subjects, who had sustained various types of blunt high-energy trauma, were selected from the casuistry of the Section of Legal Medicine at University of Pisa: before autopsy, a PMCT examination (Toshiba Aquilion 16 CT scanner) was performed, and after the acquisition of the raw images, MPR and VR reconstructions were performed with dedicated software. Results. PMCT is more sensitive than conventional autopsy in detecting skeletal injuries, whilst autopsy constitutes the method of choice for the detection of thoracic and abdominal visceral injuries. Conclusion. PMCT should be considered a useful tool in addition to conventional autopsy in evaluating trauma victims: it detects further bone fractures in body parts difficult to investigate during autopsy (i.e. posterior regions), facilitating the pathologist in the reconstruction of events and in determining the cause of death

Study of nuclear structure of 13C and 20Ne by low energy nuclear reactions

We report some recent experimental results on the spectroscopy of 13C and 20Ne nuclei by means of low energy nuclear reactions carried out with high resolution electrostatic accelerators. In the case of 13C we investigated the possible existence of a-cluster states above the a emission threshold by means of low energy elastic resonant scattering α+9Be in direct kinematics. Excitation functions show the presence of various resonances that have been reproduced by R-matrix fit. We studied also the structure of 20Ne by means of the 19F(p,α0) reaction at sub-barrier energies. The spectroscopy of 20Ne excited states in the region Ex 13.5-14.0 MeV can be probed by analyzing experimental angular distributions and excitation functions. This reaction plays an important role also in the CNOF cycle and is an important ingredient to describe hydrogen-induced destruction of fluorine in massive stars. For this reason we investigated the trend of S-factor, that has been compared with results previously reported in the literature. © Published under licence by IOP Publishing Lt