Introduction to String Theory

Introduction to String Theory

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时间:2019-08-05

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1、IntroductiontoStringTheoryThomasMohauptFriedrich-SchillerUniversit¨atJena,Max-Wien-Platz1,D-07743Jena,GermanyAbstract.Wegiveapedagogicalintroductiontostringtheory,D-branesandp-branesolutions.1IntroductoryremarksThesenotesarebasedonlecturesgivenatthe271-thWE-Haereu

2、s-Seminar‘AspectsofQuantumGravity’.Theiraimistogiveanintroductiontostringtheoryforstudentsandinterestedresearches.Nopreviousknowledgeofstringtheoryisassumed.Thefocusisongravitationalaspectsandweexplaininsomedetailhowgravityisdescribedinstringtheoryintermsofthegrav

3、itonexcitationofthestringandthroughbackgroundgravitationalfields.WeincludeDirichletboundaryconditionsandD-branesfromthebeginninganddevoteonesectiontop-branesolutionsandtheirrelationtoD-branes.InthefinalsectionwebrieflyindicatehowstringtheoryfitsintothelargerpictureofM

4、-theoryandmentionsomeofthemorerecentdevelopments,likebraneworldscenarios.TheWE-Haereus-Seminar‘AspectsofQuantumGravity’coveredbothmainapproachestoquantumgravity:stringtheoryandcanonicalquantumgravity.Botharecomplementaryinmanyrespects.Whilethecanonicalapproachstre

5、ssesbackgroundindependenceandprovidesanon-perturbativeframework,thecor-nerstoneofstringtheorystillisperturbationtheoryinafixedbackgroundge-ometry.Anotherdifferenceisthatinthecanonicalapproachgravityandotherinteractionsareindependentfromeachother,whilestringtheoryaut

6、omaticallyisaunifiedtheoryofgravity,otherinteractionsandmatter.ThereisasingledimensionfulconstantandallcouplingsarefunctionsofthisconstantandofarXiv:hep-th/0207249v127Jul2002vacuumexpectationvaluesofscalars.Themattercontentisuniquelyfixedbythesymmetriesoftheunderlyi

7、ngstringtheory.Moreover,whenformulatingthetheoryinMinkowskispace,thenumberofspace-timedimensionsisfixed.Aswewillsee,thereareonlyfivedistinctsupersymmetricstringtheoriesinten-dimensionalMinkowskispace.ThemostimportantfeatureofstringperturbationtheoryistheabsenceofUVd

8、ivergencies.Thisallowsonetocomputequantumcorrectionstoscatter-ingamplitudesandtotheeffectiveaction,includinggravitationaleffects.Morerecently,significantpr

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