RT Dissertation/Thesis
T1 On gravitational Phase Transitions, T-duality and Symmetry Breaking in AdS/CFT
A1 Sierra García, Jesús Aníbal
K1 Teoría de Cuerdas
K1 AdS/CFT
K1 Teoría Cuántica de Campos
K1 NATD
AB In the present thesis we have the objective of testing and extending the domain of applicabilityof the holographic correspondence, a.k.a. AdS/CFT. This long term motivation hasbeen made concrete in three di erent problem; there are also some additional speci c goalsfor each them. The  rst is the role of higher curvature gravity corrections on thermal phasetransitions between AdS and dS geometries. Apart from the purely gravitational interest,this research may eventually be helpful to clarify the correspondence in the case of dS geometries.Our main result is a phase transition from AdS boundary leading to the formation ofdS cosmological horizon in Lanczos-Gauss-Bonnet gravity. In the presence of the higher curvaturecorrections no matter  elds are required to match both sides of the bubble due to theLanczos-Gauss-Bonnet term in the action. In the second we have made use of Non-AbelianT-duality (NATD) to generate new Supergravity solutions as well as to understand the interplayof NATD with AdS/CFT. We are interested in deformations of Klebanov-Witten (KW)background AdS5Ã T1;1  owing to an AdS3 factor in the IR. We generate new examples ofthem applying Non-Abelian T-duality on previously found solutions. After it, we comparethe holographic observables of the generated solutions with those of the known deformations.The new geometries are smooth, supersymmetric and seem to be dual to long linear quivergauge theories. Finally, we have carried the extension of the AdS/CFT correspondence, inparticular the holographic renormalization procedure, to reproduce the Ward identities ofsymmetry breaking in a 1+1 holographic superconductor. It is established that alternativequantization is necessary in the three-dimensional bulk case, and after properly performed,the  eld theoretic higher dimensional Ward identities are recovered. This extension may be nd application in AdS/CMT.
YR 2017
FD 2017
LK http://hdl.handle.net/10347/15890
UL http://hdl.handle.net/10347/15890
LA eng
DS Minerva
RD 28 abr 2026