First commit with template

Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>

.gitignore

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+img/*.xcf
+*.aux
+*.fdb_latexmk
+*.fls
+*.log
+*.nav
+*.out
+*.snm
+*.synctex.gz
+*.thm
+*.toc
+

img/complex_plane.pgf

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+\begin{tikzpicture}
+
+% draw axis
+\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\Re z$};
+\draw[thick, ->] (0cm, -3cm) -- (0cm, 3cm) node[anchor=east] {$\Im z$};
+
+% draw closed loops
+\draw[dotted, -latex] (1cm, 0cm) arc (0:360:1cm);
+\draw[dotted, -latex] (2.5cm, 0cm) arc (0:360:2.5cm);
+
+% draw arrows
+\draw[-latex] (0,0) -- (1.75cm, 1.75cm) node[anchor=south] (z1) {$\abs{z_{(1)}} = e^{\uptau_{E\, (1)}}$};
+\draw[-latex] (0,0) -- (0.45cm, -0.9cm) node[anchor=north west] (z0) {$\abs{z_{(0)}} = e^{\uptau_{E\, (0)}}$};
+
+% draw isolated point
+\draw[fill] (-1.5cm, 1.1cm) circle (2pt) node[anchor=south west] (w) {$w$};
+
+% draw the names of the paths (use $\mathcal{C}$ instead of $\ccC$ if it does not compile)
+\node (c0) at (-0.7cm, -1.2cm) {$\mathscr{C}_{(0)}$};
+\node (c0) at (-1.5cm, -2.6cm) {$\mathscr{C}_{(1)}$};
+
+\end{tikzpicture}
+
+
+% vim: ft=tex

thesis.tex

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+\documentclass[10pt, aspectratio=169]{beamer}
+
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage[british]{babel}
+\usepackage{csquotes}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{mathrsfs}
+\usepackage{dsfont}
+\usepackage{upgreek}
+\usepackage{physics}
+\usepackage{tensor}
+\usepackage{graphicx}
+\usepackage{transparent}
+\usepackage{tikz}
+\usepackage{import}
+\usepackage{booktabs}
+\usepackage{multicol}
+\usepackage{multirow}
+\usepackage{bookmark}
+\usepackage{xspace}
+
+\usetheme{Singapore}
+\usecolortheme{crane}
+\usefonttheme{structurebold}
+\setbeamertemplate{navigation symbols}{}
+
+\author[Finotello]{Riccardo Finotello}
+\title[D-branes and Deep Learning]{D-branes and Deep Learning}
+\subtitle{Theoretical and Computational Aspects in String Theory}
+\institute[UniTO]{%
+  Scuola di Dottorato in Fisica e Astrofisica
+  \\[0.5em]
+  Università degli Studi di Torino
+  \\
+  and
+  \\
+  I.N.F.N.\ -- sezione di Torino
+}
+\date{15th December 2020}
+
+\newcommand{\firstlogo}{img/unito}
+\newcommand{\thefirstlogo}{%
+  \begin{figure}
+    \centering
+    \includegraphics[width=5em]{\firstlogo}
+  \end{figure}
+}
+
+\newcommand{\secondlogo}{img/infn}
+\newcommand{\thesecondlogo}{%
+  \begin{figure}
+    \centering
+    \includegraphics[width=5em]{\secondlogo}
+  \end{figure}
+}
+
+\setbeamertemplate{title page}{%
+  \begin{center}
+    {%
+      \usebeamercolor{title}
+      \usebeamerfont{title}
+      \colorbox{bg}{%
+        {\Huge \inserttitle}\xspace
+      }
+      \vspace{0.5em}
+    }\par
+    {%
+      \usebeamercolor{subtitle}
+      \usebeamerfont{subtitle}
+      {\large \it \insertsubtitle}\xspace
+      \vspace{2em}
+    }\par
+    {%
+      \usebeamercolor{author}
+      \usebeamerfont{author}
+      {\Large \insertauthor}\xspace
+      \vspace{1em}
+    }\par
+    {%
+      \begin{columns}
+        \centering
+        \begin{column}{0.3\linewidth}
+          \centering
+          \thefirstlogo
+        \end{column}
+        \begin{column}{0.4\linewidth}
+          \centering
+          \usebeamercolor{institute}
+          \usebeamerfont{institute}
+          \insertinstitute{}
+          \\[1em]
+          \insertdate{}
+        \end{column}
+        \begin{column}{0.3\linewidth}
+          \centering
+          \thesecondlogo
+        \end{column}
+      \end{columns}
+    }\par
+  \end{center}
+}
+
+\setbeamertemplate{footline}{%
+  \usebeamerfont{footnote}
+  \usebeamercolor{footnote}
+  \hfill
+  \insertframenumber{}~/~\inserttotalframenumber{}
+  \hspace{1em}
+  \vspace{1em}
+  \par
+}
+
+\AtBeginSection[]
+{%
+  {%
+    \setbeamertemplate{footline}{}
+    \begin{frame}[noframenumbering]{\contentsname}
+      \tableofcontents[currentsection]
+    \end{frame}
+  }
+}
+
+
+\begin{document}
+
+  {%
+    \usebackgroundtemplate{%
+      \transparent{0.1}
+      \includegraphics[width=\paperwidth]{img/torino.png}
+    }
+    \begin{frame}[noframenumbering, plain]
+      \titlepage{}
+    \end{frame}
+  }
+
+  {%
+    \setbeamertemplate{footline}{}
+    \begin{frame}[noframenumbering]{\contentsname}
+      \tableofcontents{}
+    \end{frame}
+  }
+
+
+  \section[CFT]{Conformal Symmetry and Geometry of the Worldsheet}
+  
+  \begin{frame}{Action Principle and Conformal Symmetry}
+    \begin{block}{Polyakov's Action}
+      \begin{equation*}
+        S_P\qty[ \upgamma,\, X,\, \uppsi ]
+        =
+        -\frac{1}{4\pi}
+        \int\limits_{-\infty}^{+\infty} \dd{\uptau}
+        \int\limits_0^{\ell} \dd{\upsigma}
+        \sqrt{-\det \upgamma}\,
+        \upgamma^{\upalpha \upbeta}\,
+        \qty(%
+          \frac{2}{\alpha'}\,
+          \partial_{\upalpha} X^{\upmu}\,
+          \partial_{\upbeta} X^{\upnu}
+          +
+          \uppsi^{\upmu}\,
+          \uprho_{\upalpha}
+          \partial_{\upbeta}
+          \uppsi^{\upnu}
+        )\,
+        \upeta_{\upmu\upnu}
+      \end{equation*}
+    \end{block}
+
+    \begin{columns}
+      \begin{column}[t]{0.5\linewidth}
+        Symmetries:
+        \begin{itemize}
+          \item Poincaré transf.\ $X'^{\upmu} = \tensor{\Uplambda}{^{\upmu}_{\upnu}} X^{\upnu} + c^{\upmu}$
+
+          \item 2D diff.\ $\upgamma'_{\upalpha \upbeta} = \tensor{\qty( \mathrm{J}^{-1} )}{_{\upalpha \upbeta}^{\uplambda \uprho}}\, \gamma_{\uplambda \uprho}$
+
+          \item Weyl transf.\ $\upgamma'_{\upalpha \upbeta} = e^{2 \upomega}\, \gamma_{\upalpha \upbeta}$
+        \end{itemize}
+      \end{column}
+
+      \begin{column}[t]{0.5\linewidth}
+        Conformal symmetry:
+        \begin{itemize}
+          \item vanishing stress-energy tensor: $\mathcal{T}_{\upalpha \upbeta} = 0$
+          
+          \item traceless stress-energy tensor: $\trace{\mathcal{T}} = 0$
+
+          \item conformal gauge $\upgamma_{\upalpha \upbeta} = e^{\upphi}\, \upeta_{\upalpha \upbeta}$
+        \end{itemize}
+      \end{column}
+    \end{columns}
+  \end{frame}
+
+  \begin{frame}{Action Principle and Conformal Symmetry}
+    \begin{columns}
+      \begin{column}{0.6\linewidth}
+        Let $z = e^{\uptau_E + i \upsigma} \Rightarrow \overline{\partial} \mathcal{T}( z ) = \partial \overline{\mathcal{T}}( \overline{z} ) = 0$:
+        \begin{equation*}
+          T( z )\, \Upphi_{\upomega}( w )
+          \stackrel{z \to w}{\sim}
+          \frac{\upomega}{(z - w)^2} \Upphi_{\upomega}( w )
+          +
+          \frac{1}{z - w} \partial_w \Upphi_{\upomega}( w )
+        \end{equation*}
+      \end{column}
+
+      \begin{column}{0.4\linewidth}
+        \begin{figure}[h]
+          \centering
+          \resizebox{0.8\columnwidth}{!}{\import{img}{complex_plane.pgf}}
+        \end{figure}
+      \end{column}
+    \end{columns}
+  \end{frame}
+
+
+  \subsection[Tools]{Preliminary Tools and Definitions}
+
+  \begin{frame}{AAA}
+    a1
+  \end{frame}
+
+
+  \subsection[D-branes]{D-branes Intersecting at Angles}
+
+  \begin{frame}{AAA}
+    a2
+  \end{frame}
+
+
+  \subsection[Fermions]{Fermions With Boundary Defects}
+
+  \begin{frame}{AAA}
+    a3
+  \end{frame}
+
+
+  \section[Time Divergences]{Cosmological Backgrounds and Divergences}
+
+  \begin{frame}{BBB}
+    b
+  \end{frame}
+
+
+  \subsection[Orbifolds]{Orbifolds and Cosmological Models}
+
+  \begin{frame}{BBB}
+    b1
+  \end{frame}
+
+
+  \subsection[Time Dependency]{Time Dependent Orbifolds}
+
+  \begin{frame}{BBB}
+    b2
+  \end{frame}
+
+
+  \section[Deep Learning]{Deep Learning the Geometry of String Theory}
+
+  \begin{frame}{CCC}
+    c
+  \end{frame}
+
+  \subsection[CICY]{Complete Intersection Calabi--Yau Manifolds}
+
+  \begin{frame}{CCC}
+    c1
+  \end{frame}
+
+
+  \subsection[Machine Learning]{Machine Learning and Deep Learning for CICY Manifolds}
+
+  \begin{frame}{CCC}
+    c2
+  \end{frame}
+
+
+\end{document}