\documentclass[12pt,titlepage]{article} \usepackage{amsmath} \usepackage{mathrsfs} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsthm} \usepackage{mathtools} \usepackage{graphicx} \usepackage{color} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{xparse} \usepackage{hyperref} %----Macros---------- % % Unresolved issues: % % \righttoleftarrow % \lefttorightarrow % % \color{} with HTML colorspec % \bgcolor % \array with options (without options, it's equivalent to the matrix environment) % Of the standard HTML named colors, white, black, red, green, blue and yellow % are predefined in the color package. 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\newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{parastatistics} \hypertarget{parastatistics}{}\section*{{Parastatistics}}\label{parastatistics} \noindent\hyperlink{related_concepts}{Related concepts}\dotfill \pageref*{related_concepts} \linebreak \noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak \hypertarget{related_concepts}{}\subsection*{{Related concepts}}\label{related_concepts} \begin{itemize}% \item [[braid group statistics]] \end{itemize} \hypertarget{references}{}\subsection*{{References}}\label{references} \begin{itemize}% \item H.S. Green, \emph{A generalized method of field quantization}, Phys. Rev. \textbf{90}, 270--273 (1953) \item wikipedia: \href{http://en.wikipedia.org/wiki/Parastatistics}{parastatistics}, \href{http://en.wikipedia.org/wiki/Klein_transformation}{Klein transformation} \item Y. Ohnuki, S. Kamefuchi, \emph{Quantum field theory and parastatistics paperback}, Springer 2011, 508 pp. \item [[Jean-Louis Loday]], Todor Popov, \emph{Parastatistics algebra and super semistandard Young tableaux}, Lie Theory and Its Applications in Physics VII, ed. V.K. Dobrev et al, Heron Press, Sofia 2008, \item Weimin Yang, Sicong Jing, \emph{Graded Lie algebra generating of parastatistical algebraic atructure \href{arxiv.org/pdf/math-ph/0212009}{math-ph/0212009}} \item Tolstoy, V. N., \emph{Algebraic structure of mixed parastatistics}, Proc. XV Int. Conf. on Symmetry Methods in Physics, \href{}{} \item Lee Brekke, Sterrett J. Collins, Tom D. Imbo, \emph{Nonabelian vortices on surfaces and their statistics}, \href{arxiv.org/pdf/hep-th/9701056}{hep-th/9701056} \end{itemize} \begin{quote}% If we could ``turn off'' all interactions in the universe which couple to spin, then different spin states would be in principle indistinguishable (although still not identical), and the particles would obey parastatistics at the fundamental level. We can play the same game with color, isospin and numerous other internal degrees freedom. (Indeed, the parastatistical treatment of quarks 3 predates the introduction of color 4.) \end{quote} \begin{itemize}% \item Fred Cooper, Avinash Khare, Uday Sukhatme, \emph{Parasupersymmetry in quantum mechanics}, J. Math. Phys. 1993 \end{itemize} category: physics \end{document}