{"id":39377,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/duality-in-topological-quantum-field-theories\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"duality-in-topological-quantum-field-theories","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/duality-in-topological-quantum-field-theories\/","title":{"rendered":"Duality in topological quantum field theories."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carlos Lozano Rodriguez <\/strong><\/h2>\n<p>En esta tesis se presenta un an\u00e1lisis detallado de las tres teor\u00edas cu\u00e1nticas de campos topol\u00f3gicas diferentes que se obtienen del twist de la teor\u00eda gauge no abeliana n=4 supersim\u00e9trica, y su relaci\u00f3n con la simetr\u00eda de dualidad. Estas teor\u00edas son topol\u00f3gicas en el sentido de que un cierto subconjunto de funciones de correlaci\u00f3n son independientes de la m\u00e9trica del espacio-tiempo en que est\u00e1n definidas. Esta independencia permite que dichas funciones de correlaci\u00f3n puedan ser calculadas en el l\u00edmite de distancias extremadamente grandes, en el cual la informaci\u00f3n de la teor\u00eda topol\u00f3gica se puede obtener a partir del an\u00e1lisis de los grados de libertad del vac\u00edo de la teor\u00eda f\u00edsica n=4.  la teor\u00eda n=4 supersim\u00e9trica es finita e invariante conforme y se cree que posee una simetr\u00eda de dualidad fuerte-d\u00e9bil, es decir, que las predicciones de la teor\u00eda no cambian si se invierte la constante de acoplamiento y se intercambian simult\u00e1neamente los campos el\u00e9ctricos y magn\u00e9ticos. Estas propiedades de dualidad se manifiestan tambi\u00e9n en los diferentes twist de la teor\u00eda n=4, y el prop\u00f3sito de esta tesis es estudiar en detalle como se manifiesta la dualidad en cada uno de los modelos topol\u00f3gicas que se consideran.  para el primero de los modelos (conocido como teor\u00eda de vafa-witten) se ha generalizado el c\u00e1lculo de la funci\u00f3n de partici\u00f3n de la teor\u00eda para grupo gauge su(n), siendo n un n\u00famero entero primo. Las expresiones resultantes satisfacen todas las propiedades de dualidad esperadas, y son un punto de partida prometedor para el estudio del l\u00edmite de n grande, en el cual las predicciones de la teor\u00eda deber\u00edan ser equivalentes a las de una teor\u00eda de supercuerdas en 10 dimensiones.  para el segundo de los modelos, se ha construido una expresi\u00f3n general para la funci\u00f3n generatriz de las funciones de correlaci\u00f3n topol\u00f3gicas para grupo gauge su(2) en t\u00e9rminos de una integral sobre el espa<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Duality in topological quantum field theories.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Duality in topological quantum field theories. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carlos Lozano Rodriguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Jos\u00e9 Manuel Fernandez De Labastida Del Olmo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: alfonso V\u00e1zquez ramallo <\/li>\n<li>Miguel angel Ramos osorio (vocal)<\/li>\n<li>Manuel Asorey carballeira (vocal)<\/li>\n<li>Jos\u00e9 Luis Fernandez barbon (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carlos Lozano Rodriguez En esta tesis se presenta un an\u00e1lisis detallado de las tres teor\u00edas cu\u00e1nticas de [&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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