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Begin part with fermions and defect CFT

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Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
Riccardo
2020-11-09 18:40:17 +01:00
parent 6dc21a9be2
commit 3d1d20debb
4 changed files with 219 additions and 9 deletions
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25
img/brane3d.pgf Normal file
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@@ -0,0 +1,25 @@
\usetikzlibrary{decorations.pathmorphing}
\begin{tikzpicture}
% draw branes
\draw[thick] (-0.35cm, 0cm) -- (-3cm, -2cm) -- (-3cm, 3cm) -- (1cm, 5cm) -- (1cm, 4cm);
\draw[dashed] (1cm, 4cm) -- (1cm, 1cm) -- (-0.35cm, 0cm);
\draw[thick] (-3cm, 2cm) -- (-4cm, 4cm) -- (1.5cm, 4cm) -- (3.5cm, 0cm) -- (-0.35cm, 0cm);
\draw[dashed] (-3cm, 2cm) -- (-2cm, 0cm) -- (-0.35cm, 0cm);
\draw[dotted] (-0.35cm, 0cm) -- (-1cm, 4.01cm);
% draw names
\node[anchor=base] at (0.15cm, 5cm) {$D_{(t)}$};
\node[anchor=base] at (2.5cm, -0.5cm) {$D_{(t+1)}$};
% draw string
\draw[thick, decorate, decoration={snake, segment length=1cm}] (1.5cm, 2cm) .. controls (1.1cm, 1.1cm) and (-1cm, 0.1cm) .. (-1.8cm, 0.3cm);
\filldraw[fill=black, draw=black] (1.5cm, 2cm) circle (2pt);
\filldraw[fill=black, draw=black] (-1.8cm, 0.3cm) circle (2pt);
\end{tikzpicture}
% vim: ft=tex

27
img/defects.pgf Normal file
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@@ -0,0 +1,27 @@
\begin{tikzpicture}
% draw axis
\draw[thick, ->] (-3cm, 0cm) -- (3cm, 0cm) node[anchor=south] {$\uptau$};
\draw[thick, ->] (-0.75cm, -1cm) -- (-0.75cm, 3cm) node[anchor=east] {$\upsigma$};
% draw defects
\filldraw[fill=white, draw=black] (-2cm, 0cm) circle (2pt) node[anchor=north] {$\hat{\uptau}_{(t+1)}$};
\filldraw[fill=white, draw=black] (0.25cm, 0cm) circle (2pt) node[anchor=north] {$\hat{\uptau}_{(t)}$};
\filldraw[fill=white, draw=black] (2.25cm, 0cm) circle (2pt) node[anchor=north] {$\hat{\uptau}_{(t-1)}$};
% draw the endlines
\draw[dotted] (-2cm, 2pt) -- (-2cm, 2cm);
\draw[dotted] (0.25cm, 2pt) -- (0.25cm, 2cm);
\draw[dotted] (2.25cm, 2pt) -- (2.25cm, 2cm);
% draw the second D-brane
\draw[dashed] (-3cm, 2cm) -- (3cm, 2cm);
\node[anchor=south west] at (-0.75cm, 2cm) {$\uppi$};
% draw the string
\draw[decorate, decoration={snake, segment length=0.75cm}] (1cm, 0cm) -- (1cm, 2cm);
\draw[->] (1.1cm, 1cm) -- (1.6cm, 1cm);
\end{tikzpicture}
% vim: ft=tex

11
img/threebranes_plane.pgf
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@@ -1,11 +1,8 @@
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{decorations.pathmorphing}
\begin{tikzpicture}
\begin{tikzpicture}
% draw axis
\draw[thick, ->] (-0.5cm, 0cm) -- (5cm, 0cm) node[anchor=south] {$\Re \omega$};
\draw[thick, ->] (0cm, -1cm) -- (0cm, 3cm) node[anchor=east] {$\Im \omega$};
\draw[thick, ->] (-0.5cm, 0cm) -- (5cm, 0cm) node[anchor=south] {$\Re \upomega$};
\draw[thick, ->] (0cm, -1cm) -- (0cm, 3cm) node[anchor=east] {$\Im \upomega$};
% draw branching cuts
\filldraw[fill=black!30, draw=black, dashed] (0cm, 2pt) rectangle (4.8cm, -2pt);
@@ -18,4 +15,4 @@
\end{tikzpicture}
% vim: ft=tex
% vim: ft=tex