Holographic duality and applications
arXiv:1612.00247
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.
238 pages, 28 figures. PhD Thesis, Universidade de Santiago de Compostela, Spain (September, 2016). arXiv admin note: substantial text overlap with arXiv:0906.5183 by other authors
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