String theory: Primary fields and radial quantization A time-ordered product of fields on the cylinder maps to a radially ordered product in the complex plane. This graphic visualizes how different times on the cylinder correspond to different times on the plane.

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% String theory: Primary fields and radial quantization % A time-ordered product of fields on the cylinder maps to a radially ordered product in the complex plane. % This graphic visualizes how different times on the cylinder correspond to different times on the plane. \documentclass[tikz]{standalone} \begin{document} \begin{tikzpicture} \draw[dashed] (2.6,0) arc (-90:90:-0.5 and 1.5);% line 1 \draw[dashed] (1.4,0) arc (-90:90:-0.5 and 1.5);% line 2 \draw[->] (-0.5,0) arc (-90:90:-0.5 and 1.5); \draw (0,0) -- (4,0);% bottom line \draw (0,3) -- (4,3);% top line \draw (0,0) arc (270:90:0.5 and 1.5);% left half of the left ellipse \draw (4,1.5) ellipse (0.5 and 1.5);% right ellipse \draw (0.6,1.5) node {$\tau_1$}; \draw (1.8,1.5) node {$\tau_2$}; \draw (-1.25,1.5) node {$\sigma$}; \draw[->] (0.5,-0.5) -- (3.5,-0.5); \draw (2,-1) node {$\tau$}; \draw[->,thick] (5.0,1.5) -- (6,1.5); \draw[dashed] (9,1.5) circle (0.8); \draw[dashed] (9,1.5) circle (1.8); \draw [->,domain=0:90] plot ({9 - 2.2*cos(\x)},{1.5-2.2*sin(\x)}); \draw (6.9,0.2) node {$\sigma$}; \draw (9.6,2.4) node {$\tau_1$}; \draw (10.4,3) node {$\tau_2$}; \node at (9,1.5) [circle,inner sep=1pt,fill=black] {}; \end{tikzpicture} \end{document}

Click to download: cylinder-to-plane.tex

Open in Overleaf: cylinder-to-plane.tex

This file is available on tikz.netlify.app and on GitHub and is MIT licensed.

See more on the author page of Janosh Riebesell..