\documentclass[a4paper,11pt,twoside]{thesis} \usepackage[british]{babel} \usepackage{csquotes} \usepackage{debug} \usepackage{sciencestuff} \usepackage{import} \author{Riccardo Finotello} \title{Theoretical and Computational Aspects of String Theory and Their Phenomenological Implications} \advisor{Igor Pesando} \institution{Università degli Studi di Torino} \school{Scuola di Dottorato} \specialisation{Dottorato in Fisica ed Astrofisica} \logo{img/unito} \addbibresource{thesis.bib} \fancyhead[L]{} \fancyhead[R]{\rightmark} \hypersetup{% pdfauthor={Riccardo Finotello} } %---- functions \newcommand{\hyp}[4]{\ensuremath{\mathrm{F}\left( #1,\, #2;\, #3;\, #4 \right)}} \newcommand{\poch}[2]{\ensuremath{\left( #1 \right)_{#2}}} \newcommand{\gfun}[1]{\ensuremath{\Gamma\left( #1 \right)}} %---- derivatives \newcommand{\consprod}[2]{\left\langle #1, #2 \right\rangle} \newcommand{\lconsprod}[2]{\left\langle\hspace{-0.25em}\left\langle #1\right.,\, #2 \right\rangle} \newcommand{\dual}[1]{\tensor[^*]{#1}{}} %---- integrals \newcommand{\ddz}{\ensuremath{\frac{\mathrm{d}z}{2 \pi i}}} \newcommand{\ddbz}{\ensuremath{\frac{\mathrm{d}\overline{z}}{2 \pi i}}} \newcommand{\ddw}{\ensuremath{\frac{\mathrm{d}w}{2 \pi i}}} \newcommand{\ddbw}{\ensuremath{\frac{\mathrm{d}\overline{w}}{2 \pi i}}} \newcommand{\cint}[1]{\ensuremath{\oint\limits_{\ccC_{#1}}}} %---- states \newcommand{\regvacuum}{\ensuremath{\ket{0}_{\SL{2}{R}}}\xspace} \newcommand{\regvacuumin}{\ensuremath{\ket{0_{(\text{in})}}_{\SL{2}{R}}}\xspace} \newcommand{\regvacuumout}{\ensuremath{\ket{0_{(\text{out})}}_{\SL{2}{R}}}\xspace} \newcommand{\twsvacket}{\ensuremath{\ket{\mathrm{T}}}\xspace} \newcommand{\twsvacbra}{\ensuremath{\bra{\mathrm{T}}}\xspace} \newcommand{\excvacket}{\ensuremath{\ket{T_{\rE,\, \brE}}}\xspace} \newcommand{\excvacbra}{\ensuremath{\bra{T_{\rE,\, \brE}}}\xspace} \newcommand{\eexcvacket}{\ensuremath{\ket{T_{\rE}}}\xspace} \newcommand{\eexcvacbra}{\ensuremath{\bra{T_{\rE}}}\xspace} \newcommand{\Gexcvac}{\Omega_{\qty{x_{(t)},\, \rE_{(t)},\, \brE_{(t)}}}} \newcommand{\Gexcvacket}{\ket{\Gexcvac}} \newcommand{\Gexcvacbra}{\bra{\Gexcvac}} \newcommand{\GGexcvac}{\Omega_{\qty{x_{(t)},\, \rE_{(t)}}}} \newcommand{\GGexcvacket}{\ket{\GGexcvac}} \newcommand{\GGexcvacbra}{\bra{\GGexcvac}} \newcommand{\cmode}[4]{\mathfrak{C}_{#1}\qty(#2,\, \qty{#4,\, #3})} %---- operators \newcommand{\noE}[1]{\ccN_{\rE,\, \brE}\qty[ #1 ]} %---- coordinates \newcommand{\pX}{\ensuremath{X'}\xspace} %---- BEGIN DOCUMENT \begin{document} %---- TITLE \maketitlepage{} \cleardoubleplainpage{} %---- FRONTESPICE \makefrontespice{} \cleardoubleplainpage{} %---- ABSTRACT \begin{abstractpage} \input{sec/abstract.tex} \end{abstractpage} \cleardoubleplainpage{} %---- ACKNOWLEDGENTS \begin{acknowledgmentspage} \input{sec/acknowledgments.tex} \end{acknowledgmentspage} \cleardoubleplainpage{} %---- TOC AND OUTLINE \plaintoc{} \outline{Outline} \input{sec/outline.tex} %---- PARTICLE PHYSICS \thesispart{Conformal Symmetry and Geometry of the Wordlsheet} \section{Introduction} \input{sec/part1/introduction.tex} \section{D-branes Intersecting at Angles} \input{sec/part1/dbranes.tex} \section{Fermions With Boundary Defects} \input{sec/part1/fermions.tex} %---- COSMOLOGY \thesispart{Cosmology and Time Dependent Divergences} \section{Introduction} \input{sec/part2/introduction.tex} %---- DEEP LEARNING \thesispart{Deep Learning the Geometry of String Theory} \label{part:deeplearning} \section{Introduction} \input{sec/part3/introduction.tex} %---- APPENDIX \thesispart{Appendix} \appendix \section{The Isomorphism in Details} \label{sec:isomorphism} \input{sec/app/isomorphism.tex} \section{The Parameters of the Hypergeometric Function} \label{sec:parameters} \input{sec/app/parameters.tex} \section{Reflection Conditions on the Vacuum} \label{sec:details_reflection} \input{sec/app/reflection.tex} %---- BIBLIOGRAPHY \cleardoubleplainpage{} \small \printbibliography[heading=bibintoc] \end{document} % vim: ft=tex