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theorems:coleman_mandula [2018/10/11 13:47] jakobadmin created |
theorems:coleman_mandula [2018/10/11 14:02] (current) jakobadmin [Why is it interesting?] |
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<tabbox Abstract> | <tabbox Abstract> | ||
- | <note tip> | + | **Loopholes** |
- | The motto in this section is: //the higher the level of abstraction, the better//. | + | |
- | </note> | + | |
- | <tabbox Why is it interesting?> | + | * For a nice discussion, see Section 5.2 "Living without Supersymmetry" in [[http://archiv.ub.uni-heidelberg.de/volltextserver/23860/1/New%20Symmetry%20Concepts%20for%20Spacetime%20and%20Unification.pdf|New Symmetry Concepts for Spacetime and Unification]] by Sebastian Ohmer. |
+ | |||
+ | <blockquote>There are also symmetries that are not captured by the theorem at all. These symmetries | ||
+ | are for example discrete symmetries and spontaneously broken symmetries. The latter being | ||
+ | symmetries that do not act on the S-matrix level and therefore evading the requirement to | ||
+ | commute with S. Rather, these symmetries are symmetries of the action of the theory and are | ||
+ | spontaneously broken before any calculation.<cite>{{ :theorems:colemanmandula.pdf |The Coleman-Mandula Theorem}} by Sascha Leonhardt</cite></blockquote> | ||
+ | <tabbox Why is it interesting?> | ||
+ | The Coleman-Mandula theorem is often invoked as a motivation for [[theories:speculative_theories:supersymmetry|Supersymmetry]]. | ||
/*<tabbox FAQ>*/ | /*<tabbox FAQ>*/ |