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<p>99.236.103.200: </p> <hr /> <div>{{Unreferenced|date=May 2011}}<br /> In [[theoretical physics]], a '''short supermultiplet''' is a [[supermultiplet]] i.e. a representation of the [[supersymmetry]] algebra whose dimension is smaller than &lt;math&gt;2^{N/2}&lt;/math&gt; where &lt;math&gt;N&lt;/math&gt; is the number of real supercharges. The representations that saturate the bound are known as the '''long supermultiplets'''.<br /> <br /> The states in a long supermultiplet may be produced from a representative by the action of the lowering and raising operators, assuming that for any basis vector, either the lowering operator or its conjugate raising operator produce a new nonzero state. This is the reason for the dimension indicated above. On the other hand, the short supermultiplets admit a subset of supercharges that annihilate the whole representation. That is why the short supermultiplets contain the [[BPS state]]s, another description of the same concept.<br /> <br /> The BPS states are only possible for objects that are either massless or massive extremal, i.e. carrying a maximum allowed value of some [[central charge]]s.<br /> <br /> [[Category:Supersymmetry]]<br /> <br /> <br /> {{physics-stub}}</div>

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