Vázquez Ramallo, AlfonsoBea Besada, Yago2017-01-172017-01-172016http://hdl.handle.net/10347/15074In this thesis we review some results on the generalization of the gauge/gravity duality to new cases by using T-duality and by including fundamental matter, finding applications to condensed matter physics. First, we construct new supersymmetric solutions to type IIA/B and eleven dimensional supergravity using non-abelian T-duality. Second, we construct a type IIA supergravity solution with D6-sources, dual to an unquenched massive flavored version of the ABJM theory. Third, we study a probe D6-brane with worldvolume gauge fields in the ABJM background, obtaining the dual description of a quantum Hall system. Finally, we consider a system of a probe D6-brane in the ABJM background and study quantum phase transitions of its dual theory.engEsta obra atópase baixo unha licenza internacional Creative Commons BY-NC-ND 4.0. Calquera forma de reprodución, distribución, comunicación pública ou transformación desta obra non incluída na licenza Creative Commons BY-NC-ND 4.0 só pode ser realizada coa autorización expresa dos titulares, salvo excepción prevista pola lei. Pode acceder Vde. ao texto completo da licenza nesta ligazón: https://creativecommons.org/licenses/by-nc-nd/4.0/deed.glhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.glHolographic dualityAdS/CFT conjectureSupergravityString theoryMaterias::Investigación::22 Física::2290 Física altas energías::229001 Física teórica altas energíasMaterias::Investigación::22 Física::2212 Física teórica::221205 Gravitacióndoctoral thesisopen access