Add up to intersecting branes
Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
41
thesis.tex
41
thesis.tex
@@ -48,7 +48,7 @@
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\newenvironment{equationblock}[1]{%
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\begin{block}{#1}
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\vspace*{-\baselineskip}\setlength\belowdisplayshortskip{0pt}
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\vspace*{-0.75\baselineskip}\setlength\belowdisplayshortskip{0.25\baselineskip}
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}{%
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\end{block}
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}
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@@ -131,6 +131,11 @@
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% {%
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% {%
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% \setbeamertemplate{footline}{}
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% \usebackgroundtemplate{%
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% \transparent{0.1}
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% \includegraphics[width=\paperwidth]{img/torino.png}
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% }
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% \addtobeamertemplate{background canvas}{\transfade[duration=0.25]}{}
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% \begin{frame}[noframenumbering]{\contentsname}
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% \tableofcontents[currentsection]
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% \end{frame}
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@@ -315,7 +320,7 @@
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\begin{frame}{Extra Dimensions and Compactification}
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\begin{block}{Compactification}
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\begin{columns}
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\begin{column}{0.6\linewidth}
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\begin{column}{0.7\linewidth}
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\begin{equation*}
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\mathscr{M}^{1,\, 9}
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=
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@@ -330,9 +335,9 @@
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\end{itemize}
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\end{column}
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\begin{column}{0.4\linewidth}
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\begin{column}{0.3\linewidth}
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\centering
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\includegraphics[width=0.7\columnwidth]{img/cy}
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\includegraphics[width=0.9\columnwidth]{img/cy}
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\end{column}
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\end{columns}
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\end{block}
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@@ -372,7 +377,7 @@
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\pause
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\begin{block}{T-duality}
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\begin{equationblock}{T-duality}
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\begin{equation*}
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X( z, \overline{z} )
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=
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@@ -386,7 +391,7 @@
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=
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Y( z ) + \overline{Y}( \overline{z} )
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\end{equation*}
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\end{block}
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\end{equationblock}
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\pause
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@@ -408,8 +413,7 @@
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\pause
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\begin{block}{Spectrum}
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At massless level (\emph{irrep} of \textbf{little group} $\mathrm{SO}( D - 2 )$):
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\begin{equationblock}{Massless Spectrum (\emph{irrep} of \textbf{little group} $\mathrm{SO}( D - 2 )$}
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\begin{equation*}
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\mathcal{A}^{\upmu}
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\quad \leftrightarrow \quad
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@@ -435,7 +439,7 @@
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$a = 1,\, 2,\, \dots,\, D - p - 1$
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\end{tabular}
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\end{equation*}
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\end{block}
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\end{equationblock}
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\pause
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@@ -457,10 +461,27 @@
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\pause
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\highlight{Build gauge bosons, fermions and scalars.}
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\end{column}
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\end{columns}
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\end{frame}
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\begin{frame}{Standard Model-like Scenarios}
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\centering
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\resizebox{0.8\linewidth}{!}{\import{img}{smbranes.pgf}}
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\end{frame}
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\subsection[D-branes at Angles]{D-branes Intersecting at Angles}
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\begin{frame}{Intersecting D-branes}
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Consider \highlight{$N$ intersecting $D6$-branes} filling $\mathscr{M}^{1,3}$ and \textbf{embedded in} $\mathds{R}^6$
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\begin{equationblock}{Twist Fields Correlators}
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\begin{equation*}
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\left\langle \prod\limits_{t = 1}^N \upsigma_{\mathrm{M}_{(t)}}\qty( x_{(t)} ) \right\rangle
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\end{equation*}
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\end{equationblock}
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\end{frame}
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\section[Time Divergences]{Cosmological Backgrounds and Divergences}
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\begin{frame}{BBB}
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