<?xml version="1.0" encoding="UTF-8"?>

<record version="3" id="355">
 <title>tetrahedron representation of TQFT state</title>
 <name>TetrahedronRepresentationOfTQFTState</name>
 <created>2009-01-08 13:53:47</created>
 <modified>2009-01-10 16:07:43</modified>
 <type>Definition</type>
<parent id="354">quantum 6j-symbols and TQFT state</parent>
 <creator id="441" name="bci1"/>
 <modifier id="441" name="bci1"/>
 <author id="441" name="bci1"/>
 <classification>
	<category scheme="msc" code="03."/>
	<category scheme="msc" code="03.65.Fd"/>
 </classification>
 <defines>
	<concept>TQFT state on an Euclidean tetrahedron</concept>
 </defines>
 <synonyms>
	<synonym concept="tetrahedron representation of TQFT state" alias="3d TQFT"/>
 </synonyms>
 <related>
	<object name="Quantum6jSymbolsAndTQFTStateOnTheTetrahedron"/>
 </related>
 <keywords>
	<term>Euclidean tetrahedron and quantum 6j-symbols representation</term>
 </keywords>
 <preamble>% this is the default PlanetPhysics preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{pstricks}
% there are many more packages, add them here as you need them
% define commands here</preamble>
 <content>\section{TQFT state on an Euclidean tetrahedron:}


\subsection{A graphical representation of the Topological Quantum Field (TQFT) State on the Tetrahedron}
\begin{center}
\begin{pspicture}(-4,-1)(4,4)
\psline[linecolor=blue,linewidth=0.04]{-&gt;}(-1.5,0)(0,-1.5)
\psline[linecolor=blue,linewidth=0.04]{-&gt;}(0,-1.5)(3,0)
\psline[linecolor=blue,linewidth=0.04]{-&gt;}(3,0)(0.5,3)
\psline[linecolor=blue,linewidth=0.04]{-&gt;}(0.5,3)(-1.5,0)
\rput(-1.7,0){2}
\rput(0,-1.75){3}
\rput(3.2,0){4}
\rput(0.5,3.25){1}
\psline[linecolor=blue,linewidth=0.04](0,-1.5)(0.5,3)
\psline[linestyle=dashed](-1.5,0)(3,0)
\end{pspicture}
\end{center}

{\em Note: the $pstricks$ code for the graphics is as provided by pahio.}




\end{document}</content>
</record>
