1011.1491 cambridge lectures on supersymmetry and extra dimensions(sven krippendorf, fernando quevedo, oliverschlotterer)(1011.1491)

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1、DAMTP-2010-90IC/2010/xxMPP-2010-143CambridgeLecturesonSupersymmetryandExtraDimensionsLecturesby:FernandoQuevedo1;2,Notesby:SvenKrippendorf1,OliverSchlotterer31DAMTP,UniversityofCambridge,WilberforceRoad,Cambridge,CB30WA,UK.2ICTP,StradaCostiera11,Trieste3415

2、1,Italy.3Max-Planck-Institutf•urPhysik,F•ohringerRing6,80805M•unchen,Germany.November8,2010arXiv:1011.1491v1[hep-th]5Nov20102Contents1PhysicalMotivationforsupersymmetryandextradimensions91.1BasicTheory:QFT.........................................91.2BasicPr

3、inciple:Symmetry.....................................101.2.1Classesofsymmetries....................................101.2.2Importanceofsymmetries..................................101.3Basicexample:TheStandardModel................................121.4Problems

4、oftheStandardModel..................................132Supersymmetryalgebraandrepresentations172.1Poincaresymmetryandspinors...................................172.1.1PropertiesoftheLorentzgroup...............................172.1.2Representationsandinvaria

5、nttensorsofSL(2;C).....................182.1.3GeneratorsofSL(2;C)....................................202.1.4ProductsofWeylspinors..................................202.2Supersymmetryalgebra.......................................212.2.1Historyofsupersymmetry.

6、.................................212.2.2Gradedalgebra........................................222.2.3RepresentationsofthePoincaregroup...........................242.2.4N=1supersymmetryrepresentations...........................262.2.5Masslesssupermultiplet..

7、.................................262.2.6Massivesupermultiplet....................................272.3Extendedsupersymmetry......................................292.3.1Algebraofextendedsupersymmetry............................292.3.2Masslessrepresentationso

8、fN>1supersymmetry....................302.3.3MassiverepresentationsofN>1supersymmetryandBPSstates............323Supereldsandsuperspace353.1Basicsaboutsuperspace.......................................35