Holographic duality and applications

TL;DR

This thesis explores extensions of gauge/gravity duality through T-duality and fundamental matter, constructing new supergravity solutions and applying them to condensed matter phenomena like quantum Hall effects and phase transitions.

Contribution

It introduces novel supersymmetric supergravity solutions and models for condensed matter systems via holography, expanding the scope of gauge/gravity duality applications.

Findings

New supersymmetric solutions of supergravity constructed using non-abelian T-duality.

A supergravity solution dual to a flavored ABJM theory with D6-brane sources.

Holographic models of quantum Hall systems and quantum phase transitions.

Abstract

In 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 of type IIA/B and eleven-dimensional supergravity by using non-abelian T-duality. Second, we construct a type IIA supergravity solution with D6-brane 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. Moreover, we consider a system of a probe D6-brane in the ABJM background and study quantum phase transitions of its dual theory.