Brane-Localized Goldstone Fermions in Bulk Supergravity

We construct the action and transformation laws for bulk five-dimensional AdS supergravity coupled to one or two brane-localized Goldstone fermions. The resulting bulk-plus-brane system gives a model-independent description of brane-localized supersymmetry breaking in the Randall-Sundrum scenario. We explicitly reduce the action and transformation laws to spontaneously broken four-dimensional supergravity.Comment: 22 page

Simple d=4 supergravity with a boundary

To construct rigidly or locally supersymmetric bulk-plus-boundary actions, one needs an extension of the usual tensor calculus. Its key ingredients are the extended (F-, D-, etc.) density formulas and the rule for the decomposition of bulk multiplets into (co-dimension one) boundary multiplets. Working out these ingredients for d=4 N=1 Poincar\'e supergravity, we discover the special role played by R-symmetry (absent in the d=3 N=1 case we studied previously). The $U(1)_A$ R-symmetry has to be gauged which leads us to extend the old-minimal set of auxiliary fields S, P, A_\mu by a $U(1)_A$ compensator $a$. Our results include the ``F+A'' density formula, the ``Q+L+A'' formula for the induced supersymmetry transformations (closing into the standard d=3 N=1 algebra) and demonstration that the compensator $a$ is the first component of the extrinsic curvature multiplet. We rely on the superconformal approach which allows us to perform, in parallel, the same analysis for new-minimal supergravity.Comment: 26 pages. JHEP forma

Link Graph Analysis for Adult Images Classification

In order to protect an image search engine's users from undesirable results adult images' classifier should be built. The information about links from websites to images is employed to create such a classifier. These links are represented as a bipartite website-image graph. Each vertex is equipped with scores of adultness and decentness. The scores for image vertexes are initialized with zero, those for website vertexes are initialized according to a text-based website classifier. An iterative algorithm that propagates scores within a website-image graph is described. The scores obtained are used to classify images by choosing an appropriate threshold. The experiments on Internet-scale data have shown that the algorithm under consideration increases classification recall by 17% in comparison with a simple algorithm which classifies an image as adult if it is connected with at least one adult site (at the same precision level).Comment: 7 pages. Young Scientists Conference, 4th Russian Summer School in Information Retrieva

Rigid supersymmetry with boundaries

We construct rigidly supersymmetric bulk-plus-boundary actions, both in $x$-space and in superspace. For each standard supersymmetric bulk action a minimal supersymmetric bulk-plus-boundary action follows from an extended $F$- or $D$-term formula. Additional separately supersymmetric boundary actions can be systematically constructed using co-dimension one multiplets (boundary superfields). We also discuss the orbit of boundary conditions which follow from the Euler-Lagrange variational principle.Comment: 28 pages, JHEP clas

On convergence of volume of level sets of stationary smooth Gaussian fields

We prove convergence of Hausdorff measure of level sets of smooth Gaussian fields when the levels converge. Given two coupled stationary fields f1, f2, we estimate the difference of Hausdorff measure of level sets in expectation, in terms of C2-fluctuations of the field F = f1 − f2. The main idea in the proof is to represent difference in volume as an integral of mean curvature using the divergence theorem. This approach is different from using Kac-Rice type formula as main tool in the analysis

Vaizdo žaidimų filosofinės interpretacijos diskursai ir semantiniai tropai

The article explores one of the most remarkable and dynamic phenomena of modern technoculture – video games. It reconstructs the genesis of the philosophical discourse on video games, exposing the main difficulties arising in making the definitions. Special importance is attached to the critical comparative analysis of the major strategies for the philosophical explication of video games. With the aid of the method of comparative-historical reconstruction and a structuralist approach, the essential correlations between the essential definition of a video game and the ontological systems of Plato, the Gnostics, G. Berkeley, E. Kant, as well as post-modern philosophy was established. The research results in formulating a model-integrative definition of a video game.Straipsnyje tiriami vaizdo žaidimai – vieni išskirtiniausių ir dinamiškiausių moderniosios technokultūros fenomenų. Tekste rekonstruojama filosofinio diskurso apie vaizdo žaidimus genezė, atskleidžiamos esminės kliūtys, kylančios beieškant apibrėžimų. Ypatingas dėmesys skiriamas pagrindinėms vaizdo žaidimų filosofinio aiškinimo strategijoms ir jų kritinei lyginamajai analizei. Pasitelkę lyginamosios-istorinės rekonstrukcijos metodą ir struktūralistinę prieigą, nustatome esmines sąsajas tarp vaizdo žaidimo apibrėžimo ir ontologinių Platono, gnostikų, G. Berkeley’io, I. Kanto bei postmoderniosios filosofijos sistemų. Šio tyrimo rezultatas – suformuluotas integratyvųjį modelį atitinkantis vaizdo žaidimo apibrėžimas