Add up to intersecting branes

Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
2020-11-04 18:47:16 +01:00
parent 814675e1e4
commit ae81499544
3 changed files with 66 additions and 14 deletions

View File

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