{"id":58178,"date":"2018-03-09T22:46:02","date_gmt":"2018-03-09T22:46:02","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/deformations-and-contractions-of-supersymmetric-field-theories-and-supergravity-the-geometry-of-n2-supersymmetry\/"},"modified":"2018-03-09T22:46:02","modified_gmt":"2018-03-09T22:46:02","slug":"deformations-and-contractions-of-supersymmetric-field-theories-and-supergravity-the-geometry-of-n2-supersymmetry","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/deformations-and-contractions-of-supersymmetric-field-theories-and-supergravity-the-geometry-of-n2-supersymmetry\/","title":{"rendered":"Deformations and contractions of supersymmetric field theories and supergravity. the geometry of n=2 supersymmetry"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Oscar Macia Juan <\/strong><\/h2>\n<p>En esta tesis presentamos, en primer lugar, un estudio de ciertas t\u00e9cnicas algebr\u00e1icas y su aplicaci\u00f3n a teor\u00edas de campos supersim\u00e9tricas. Seguidamente, investigamos la estructura matem\u00e1tica de la geometr\u00eda k\u00ed\u00a4hleriana especial, geometr\u00eda de los espacios de moduli de los escalares en multipletes vectoriales de supergravedad n=2 en 4  dimensiones. estudiamos las deformaciones de moyal-weyl  del superespacio generalizando, inicialmente los super corchetes de  poisson para que sean supersim\u00e9tricos (utilizando las derivadas supercovariantes y las supercargas) y seguidamente generalizamos el producto estrella de moyal-weyl para admitir bivectores de poisson impares. Esto nos conduce a  un modelo de wess-zumino deformado.  tambi\u00e9n investigamos c\u00f3mo las contracciones de algebras de lie (in\u00ed\u00b6n\u00ed\u00bc-wigner y weimar-woods) pueden introudcirse en los modelos sigma no lineales resultando en nuevas m\u00e9tricas deformadas para las variedades escalares. se muestra que estas contracciones pueden interpretarse como truncaciones o integraci\u00f3n de modos masivos en el  l\u00edmite de masas grandes. en la segunda parte, dedicada a la geometr\u00eda k\u00ed\u00a4hleriana especial, investigamos su estructura matem\u00e1tica en una  formulaci\u00f3n independiente de coordenadas, para finalmente expresar los resultados en un lenguaje coordenado para mayor claridad y para hacer la necesaria conexi\u00f3n entre el lenguaje utilizado por  matem\u00e1ticos y el usado por los f\u00edsicos. Realizamos un estudio detallado del caso pseudo-riemanniano, que es el m\u00e1s relevante en el caso proyectivo por estar relacionado con la teor\u00eda de supergravedad. No obstante el plantemiento conceptual es p\u00faramente  geom\u00e9trico y nuestras definiciones no dependen en modo algungo de la supersimetr\u00eda. finalmente estudiamos propiedades de algunas teor\u00edas con geometr\u00eda k\u00ed\u00a4hleriana especial cuando se adoptan  coordenadas reales (en oposicion a las usualmente empleads coordenadas especiales complejas). Obtenemos f\u00f3rmulas<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Deformations and contractions of supersymmetric field theories and supergravity. the geometry of n=2 supersymmetry<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Deformations and contractions of supersymmetric field theories and supergravity. the geometry of n=2 supersymmetry <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Oscar Macia Juan <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/04\/2007<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Lledo Barrena Mar\u00eda  Antonia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Mar\u00eda no del Olmo Martinez <\/li>\n<li>victor Aldaya (vocal)<\/li>\n<li>leonardo Castellani (vocal)<\/li>\n<li>alessandro Fabbri (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Oscar Macia Juan En esta tesis presentamos, en primer lugar, un estudio de ciertas t\u00e9cnicas algebr\u00e1icas y [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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