riccardo/phd-thesis-beamer
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Add branch cuts

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Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
Riccardo
2020-11-06 14:35:41 +01:00
parent 1c316a7ab1
commit b3c49df7cc
3 changed files with 127 additions and 1 deletions
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\begin{tikzpicture}
% draw axis
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$x$};
\draw[thick, ->] (-0.4cm, -1cm) -- (-0.4cm, 3cm) node[anchor=east] {$y$};
% draw branching cuts
\filldraw[fill=black!50, draw=black, dashed] (-2cm, 3pt) rectangle (2.5cm, -3pt);
\filldraw[fill=black!30, draw=black, dashed] (-0.75cm, 2pt) rectangle (2.5cm, -2pt);
\filldraw[fill=black!10, draw=black, dashed] (1cm, 1pt) rectangle (2.5cm, -1pt);
% draw branching points
\filldraw[fill=white, draw=black] (2.5cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x1) {$x_{(1)}$};
\filldraw[fill=white, draw=black] (1cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x2) {$x_{(2)}$};
\filldraw[fill=white, draw=black] (-0.75cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x3) {$x_{(3)}$};
\filldraw[fill=white, draw=black] (-2cm, 0cm) circle (2pt) node[anchor=north, below=3pt] (x4) {$x_{(4)}$};
% assign the D-branes
\draw[thin, decorate, decoration={brace}] (1cm, 0.3cm) -- (2.5cm, 0.3cm) node[midway, anchor=south] {$D_{(2)}$};
\draw[thin, decorate, decoration={brace}] (-0.75cm, 0.3cm) -- (1cm, 0.3cm) node[midway, anchor=south] {$D_{(3)}$};
\draw[thin, decorate, decoration={brace}] (-2cm, 0.3cm) -- (-0.75cm, 0.3cm) node[midway, anchor=south] {$D_{(4)}$};
% draw the remaining D-brane
\draw[thin, ->, dash pattern=on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 1cm] (-2cm, 2pt) -- (-2cm, 1cm)-- (-2.75cm, 1cm) node[midway, anchor=south] {$D_{(1)}$} ;
\draw[thin, ->, dash pattern=on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 2pt off 2pt on 1cm] (2.5cm, 2pt) -- (2.5cm, 1cm)-- (3cm, 1cm) node[midway, anchor=south] {$D_{(1)}$} ;
\end{tikzpicture}
% vim: ft=tex

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\begin{tikzpicture}
% draw the D-brane
\draw (0cm, 0cm) -- (5cm, -1cm) -- (6cm, 3cm) -- (1.5cm, 4cm) node[anchor=south west] {$D_{(t)}$} -- cycle;
% draw a triad of axis
\draw[thick, ->] (3cm, 1cm) -- (2.7cm, 0.1cm) node[anchor=east] {$X^1_{(t)}$};
\draw[thick, ->] (3cm, 1cm) -- (5cm, 0.6cm) node[anchor=south] {$X^2_{(t)}$};
\draw[thick, ->] (3cm, 1cm) -- (3cm, 2.75cm) node[anchor=east] {$X^{3,\, 4}_{(t)}$};
\end{tikzpicture}
% vim: ft=tex