\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*{string theory inspired model} \hypertarget{context}{}\subsubsection*{{Context}}\label{context} \hypertarget{physics}{}\paragraph*{{Physics}}\label{physics} [[!include physicscontents]] \hypertarget{string_theory}{}\paragraph*{{String theory}}\label{string_theory} [[!include string theory - contents]] \hypertarget{contents}{}\section*{{Contents}}\label{contents} \noindent\hyperlink{idea}{Idea}\dotfill \pageref*{idea} \linebreak \noindent\hyperlink{examples}{Examples}\dotfill \pageref*{examples} \linebreak \noindent\hyperlink{ExamplesInCosmology}{In cosmology}\dotfill \pageref*{ExamplesInCosmology} \linebreak \noindent\hyperlink{related_concepts}{Related concepts}\dotfill \pageref*{related_concepts} \linebreak \noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak \hypertarget{idea}{}\subsection*{{Idea}}\label{idea} Many [[model (in theoretical physics)|models]] discussed in [[theoretical physics]] use ideas which are inspired from phenomena seen in [[string theory]] -- such as the presence of [[branes]] -- but handling these loosely, without the (immediate) ambition of validating whether the effects considered really do arise as a [[string theory vacuum]], hence without validating all the constraints that this brings with it, such as [[quantum anomaly cancellation]] or even just [[equations of motion]]. Thus one speaks of \emph{string inspired models}, for instance of \emph{string inspired cosmology} (e.g. \hyperlink{Wands02}{Wands 02}, see \hyperlink{ExamplesInCosmology}{below}). Vaguely synonymous to \emph{string inspired model building} is \emph{[[bottom-up model building]]} in string theory, which alludes to the same idea of first loosely arranging ingredients for a given purpose of model building, and only later (if ever) climbing up and checking if and how this arrangement is consistent as a [[string theory vacuum]]. The abundance of string-inspired [[bottom-up models]] over accurate [[top-down model building]] reflects the strong constraints imposed by [[string theory]] on its [[string theory vacuum|string vacua]], which makes it much harder to construct exact examples even of [[perturbative string theory vacua]] than it is to construct [[vacua]] in [[quantum field theory]]. An ironic sociological side effect is that the relaxed attitude towards string model building in much of the informal literature leads the lay audience to the perception that it is the theory which is unconstrained instead of its model builders being unrestrained. See also at \emph{[[no-go theorem]]}. \hypertarget{examples}{}\subsection*{{Examples}}\label{examples} \hypertarget{ExamplesInCosmology}{}\subsubsection*{{In cosmology}}\label{ExamplesInCosmology} Examples of string-inspired scenarios in [[cosmology]] include \begin{itemize}% \item [[Randall-Sundrum model]] \item [[ekpyrotic cosmology]] \end{itemize} \hypertarget{related_concepts}{}\subsection*{{Related concepts}}\label{related_concepts} \begin{itemize}% \item [[cosmic inflation]] \item [[string phenomenology]] \end{itemize} \hypertarget{references}{}\subsection*{{References}}\label{references} \begin{itemize}% \item David Wands, \emph{String-inspired cosmology}, Class.Quant.Grav. 19 (2002) 3403-3416 (\href{https://arxiv.org/abs/hep-th/0203107}{arXiv:hep-th/0203107}) \end{itemize} [[!redirects string theory inspired models]] [[!redirects string inspired model]] [[!redirects string inspired models]] \end{document}