Banca de DEFESA: MARIANA CRISTINA DE LIMA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : MARIANA CRISTINA DE LIMA
DATE: 25/01/2024
TIME: 09:00
LOCAL: Plataforma Google Meet
TITLE:

Supergravity Solutions on AdS_{3,4,5,6,7} and the AdS/CFT Correspondence

KEY WORDS:

Supergravity, AdS-CFT Correspondence, quantum field theory

PAGES: 113
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The AdS/CFT conjecture states an equivalence between a theory of quantum gravtivy and a theory without gravity.
It relates complementary regimes of the coupling constant and has been exhaustively investigated since its birth.
A key tool, but not the only one, is symmetry. As we will see, there is a match between the symmetries of the two
sides. We can say that this thesis is the union of two projects with the same goals, but working in different
geometries. Both projects are focused on the spin-2 field perturbation of either type IIA or IIB families of 10-
dimensional supergravity solutions. The perturbation of the metric is particularly interesting because of its
universality. In the first project, the metric has an AdS3 factor. In the second one, we have five families and each
of them has an AdS factor: AdS2, AdS4, AdS5, AdS6, and AdS7.
The “first project”, the one on AdS3\times M7, is interesting from the point of view of AdS/CFT correspondence
because it is dual to a d=2 CFT, which, in turn, possesses an infinite number of symmetry generators. In the last
few years, new important examples of such correspondence were constructed in the papers \
cite{Eberhardt:2017pty}, \cite{Eberhardt:2018ouy} and \cite{Eberhardt:2019qcl}. In this thesis, we will
investigate a less supersymmetric solutions. We will study the Kaluza-Klein spectrum of the spin two fluctuation
which is dual to the stress-energy tensor according to the conjecture.
In the “second project" we investigate five families at once and show that all of them admit a certain combination
of the warp factors as a solution. Such combination together with the respective spectra we call universal minimal
solution.

COMMITTEE MEMBERS:
Externo à Instituição - ALESSANDRO TOMASIELLO
Externo à Instituição - DIEGO TRANCANELLI
Presidente - ***.839.841-** - DMITRY MELNIKOV - UFRN
Interno - 2196137 - EMANUELE ORAZI
Externo à Instituição - HORATIU STEFAN NASTASE - UNESP
Externo à Instituição - THIAGO SIMONETTI FLEURY - UFRN