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Change organisation of comparison slides

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Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
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Riccardo
2020-12-02 14:45:35 +01:00
parent e214b6417c
commit 798a7c5c3e
1 changed files with 32 additions and 28 deletions
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60
thesis.tex
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@@ -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}
}