Change organisation of comparison slides
Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
60
thesis.tex
60
thesis.tex
@@ -733,7 +733,7 @@
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\begin{columns}
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\begin{columns}
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\begin{column}{0.35\linewidth}
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\begin{column}{0.35\linewidth}
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\centering
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\centering
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\resizebox{0.8\columnwidth}{!}{\import{img}{brane3d.pgf}}
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\resizebox{0.75\columnwidth}{!}{\import{img}{brane3d.pgf}}
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\end{column}
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\end{column}
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\hfill
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\hfill
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\begin{column}{0.6\linewidth}
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\begin{column}{0.6\linewidth}
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@@ -1084,42 +1084,46 @@
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\begin{frame}{Orbifolds}
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\begin{frame}{Orbifolds}
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\begin{columns}[T]
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\begin{columns}[T]
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\begin{column}{0.475\linewidth}
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\begin{column}{0.475\linewidth}
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\begin{tabular}{@{}l@{}}
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\begin{tabular}{@{}p{0.975\columnwidth}@{}}
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\textbf{Mathematics}
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\textbf{Mathematics}
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\\
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\\
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\toprule
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\toprule
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manifold $M$
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\begin{itemize}
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\\
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\item manifold $M$
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(Lie) group $G$
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\\
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\item (Lie) group $G$
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\emph{stabilizer}: $G_p = \qty{g \in G \mid gp = p \in M}$
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\\
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\item \emph{stabilizer} $G_p = \qty{g \in G \mid gp = p \in M}$
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\emph{orbit}: $Gp = \qty{gp \in M \mid g \in G}$
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\\
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\item \emph{orbit} $Gp = \qty{gp \in M \mid g \in G}$
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charts $\upphi = \uppi \circ \mathscr{P}$ where:
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\\
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\item charts $\upphi = \uppi \circ \mathscr{P}$ where:
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\vspace{1em}$\mathscr{P}\colon U \subset \mathds{R}^n \to U / G$
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\\
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\begin{itemize}
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\vspace{1em}$\uppi\colon U / G \to M$
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\item $\mathscr{P}\colon U \subset \mathds{R}^n \to U / G$
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\\
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\item $\uppi\colon U / G \to M$
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\end{itemize}
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\end{itemize}
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\end{tabular}
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\end{tabular}
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\end{column}
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\end{column}
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\hfill
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\hfill
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\begin{column}{0.475\linewidth}
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\begin{column}{0.475\linewidth}
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\begin{tabular}{@{}l@{}}
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\begin{tabular}{@{}p{0.975\columnwidth}@{}}
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\textbf{Physics}
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\textbf{Physics}
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\\
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\\
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\toprule
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\toprule
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global orbit space $M / G$
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\begin{itemize}
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\\
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\item global orbit space $M / G$
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$G$ group of isometries
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\\
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\item $G$ group of isometries
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fixed points
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\\
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\item fixed points
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additional d.o.f.\ (\emph{twisted states})
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\\
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\item additional d.o.f.\ (\emph{twisted states})
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singular limits of CY manifolds
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\\
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\item singular limits of CY manifolds
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\end{itemize}
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\end{tabular}
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\end{tabular}
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\end{column}
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\end{column}
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\end{columns}
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\end{columns}
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@@ -1763,7 +1767,7 @@
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\begin{frame}[noframenumbering]{The End?}
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\begin{frame}[noframenumbering]{The End?}
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\begin{center}
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\begin{center}
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\Huge
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\Huge
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THANK YOU!
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THANK YOU
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\end{center}
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\end{center}
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\end{frame}
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\end{frame}
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}
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}
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