From 798a7c5c3e4645451f2f76e0c818783a5b237d6a Mon Sep 17 00:00:00 2001 From: Riccardo Finotello Date: Wed, 2 Dec 2020 14:45:35 +0100 Subject: [PATCH] Change organisation of comparison slides Signed-off-by: Riccardo Finotello --- thesis.tex | 60 +++++++++++++++++++++++++++++------------------------- 1 file changed, 32 insertions(+), 28 deletions(-) diff --git a/thesis.tex b/thesis.tex index 91c0627..a05b582 100644 --- a/thesis.tex +++ b/thesis.tex @@ -733,7 +733,7 @@ \begin{columns} \begin{column}{0.35\linewidth} \centering - \resizebox{0.8\columnwidth}{!}{\import{img}{brane3d.pgf}} + \resizebox{0.75\columnwidth}{!}{\import{img}{brane3d.pgf}} \end{column} \hfill \begin{column}{0.6\linewidth} @@ -1084,42 +1084,46 @@ \begin{frame}{Orbifolds} \begin{columns}[T] \begin{column}{0.475\linewidth} - \begin{tabular}{@{}l@{}} + \begin{tabular}{@{}p{0.975\columnwidth}@{}} \textbf{Mathematics} \\ \toprule - manifold $M$ - \\ - (Lie) group $G$ - \\ - \emph{stabilizer}: $G_p = \qty{g \in G \mid gp = p \in M}$ - \\ - \emph{orbit}: $Gp = \qty{gp \in M \mid g \in G}$ - \\ - charts $\upphi = \uppi \circ \mathscr{P}$ where: - \\ - \vspace{1em}$\mathscr{P}\colon U \subset \mathds{R}^n \to U / G$ - \\ - \vspace{1em}$\uppi\colon U / G \to M$ - \\ + \begin{itemize} + \item manifold $M$ + + \item (Lie) group $G$ + + \item \emph{stabilizer} $G_p = \qty{g \in G \mid gp = p \in M}$ + + \item \emph{orbit} $Gp = \qty{gp \in M \mid g \in G}$ + + \item charts $\upphi = \uppi \circ \mathscr{P}$ where: + + \begin{itemize} + \item $\mathscr{P}\colon U \subset \mathds{R}^n \to U / G$ + + \item $\uppi\colon U / G \to M$ + \end{itemize} + \end{itemize} \end{tabular} \end{column} \hfill \begin{column}{0.475\linewidth} - \begin{tabular}{@{}l@{}} + \begin{tabular}{@{}p{0.975\columnwidth}@{}} \textbf{Physics} \\ \toprule - global orbit space $M / G$ - \\ - $G$ group of isometries - \\ - fixed points - \\ - additional d.o.f.\ (\emph{twisted states}) - \\ - singular limits of CY manifolds - \\ + \begin{itemize} + \item global orbit space $M / G$ + + \item $G$ group of isometries + + \item fixed points + + \item additional d.o.f.\ (\emph{twisted states}) + + \item singular limits of CY manifolds + \end{itemize} \end{tabular} \end{column} \end{columns} @@ -1763,7 +1767,7 @@ \begin{frame}[noframenumbering]{The End?} \begin{center} \Huge - THANK YOU! + THANK YOU \end{center} \end{frame} }