{"id":53877,"date":"2006-07-07T00:00:00","date_gmt":"2006-07-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/symmetry-and-holonomy-in-m-theory\/"},"modified":"2006-07-07T00:00:00","modified_gmt":"2006-07-07T00:00:00","slug":"symmetry-and-holonomy-in-m-theory","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/symmetry-and-holonomy-in-m-theory\/","title":{"rendered":"Symmetry and holonomy in m theory"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Oscar Varela Rizo <\/strong><\/h2>\n<p>Eleven-dimensional m theory is conjectured to contain and unify  quantum gravity and the rest of fundamental interactions. Despite  its current lack of a precise formulation, hints and information  about m theory can be retrieved from its low energy limit,  eleven-dimensional supergravity. This thesis aims to make progress  towards the understanding of the symmetries and structure of m  theory from the study of eleven dimensional supergravity. Two  important questions in m theory, yet to be solved, are 1) how many  supersymmetries can an m theory background preserve and 2) what is  the symmetry of m theory. Both questions can be addressed at the  d=11 supergravity level.  the former question can be addressed for purely bosonic solutions by  means of generalized holonomy, namely, the holonomy of the  supersymmetric connection defining the supersymmetry variation of  the gravitino. We shall discuss the role of generalized holonomy  with this regard and show how successive covariant derivatives are  necessary to properly define the generalized holonomy algebra.  with regard to the later, the underlying gauge group structure of  d=11 supergravity becomes manifest when its three-form field a_3 is  expressed through a set of one-form gauge fields, associated with  the generators of a family of enlarged supersymmetry algebras (which  are fermionic extensions of the m theory superalgebra). As it will  be shown, the problem can be tackled by trivializing a standard  supersymmetry algebra chevalley-eilenberg four-cocycle (associated  to da_3) on the enlarged superalgebras. The family of trivializing  superalgebras are related to osp(1|32) through \u00abexpansion\u00bb, a method  to obtain new lie (super)algebras of increasing dimensions from  given ones.  the analysis of the underlying gauge symmetry of eleven-dimensional  supergravity leads naturally to enlarged supersymmetry algebras and  superspaces. It is, thus, natural, t<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Symmetry and holonomy in m theory<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Symmetry and holonomy in m theory <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Oscar Varela Rizo <\/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 07\/07\/2006<\/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> Azc\u00e1rraga Feliu Jos\u00e9 A.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: igor Bandos <\/li>\n<li>eric Bergshoeff (vocal)<\/li>\n<li>dmitri Sorokin (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Oscar Varela Rizo Eleven-dimensional m theory is conjectured to contain and unify quantum gravity and the rest 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